Lutasin ang 20(1+2x/100)*25*20*(1-3x/10div100)+5(1+6x/100)*4*20*(1-x/4div100)=(20*(1+2xdiv100)*25+5*(1+6xdiv100)*4)*20*(1-5xdiv18div100)

$$20(1+ \frac{ 2x }{ 100 } ) \times 25 \times 20 \times (1- \frac{ 3x }{ 10 } \div 100)+5(1+ \frac{ 6x }{ 100 } ) \times 4 \times 20 \times (1- \frac{ x }{ 4 } \div 100)=(20 \times (1+2x \div 100) \times 25+5 \times (1+6x \div 100) \times 4) \times 20 \times (1-5x \div 18 \div 100)$$

I-solve ang x

$$x = -\frac{950}{17} = -55\frac{15}{17} \approx -55.882352941$$

$$x=0$$

Mga Hakbang sa Paggamit ng Quadratic Formula

I-multiply ang magkabilang dulo ng equation gamit ang 100.

$$2000\left(1+\frac{2x}{100}\right)\times 25\times 20\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-divide ang 2x gamit ang 100 para makuha ang \frac{1}{50}x.

$$2000\left(1+\frac{1}{50}x\right)\times 25\times 20\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 2000 at 25 para makuha ang 50000.

$$50000\left(1+\frac{1}{50}x\right)\times 20\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 50000 at 20 para makuha ang 1000000.

$$1000000\left(1+\frac{1}{50}x\right)\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Gamitin ang distributive property para i-multiply ang 1000000 gamit ang 1+\frac{1}{50}x.

$$\left(1000000+1000000\times \frac{1}{50}x\right)\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 1000000 at \frac{1}{50} para makuha ang \frac{1000000}{50}.

$$\left(1000000+\frac{1000000}{50}x\right)\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-divide ang 1000000 gamit ang 50 para makuha ang 20000.

$$\left(1000000+20000x\right)\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Ilapat ang distributive property sa pamamagitan ng pag-multiply sa bawat term ng 1000000+20000x sa bawat term ng 1-\frac{\frac{3x}{10}}{100}.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-divide ang 6x gamit ang 100 para makuha ang \frac{3}{50}x.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{3}{50}x\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 500 at 4 para makuha ang 2000.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+2000\left(1+\frac{3}{50}x\right)\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 2000 at 20 para makuha ang 40000.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(1+\frac{3}{50}x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Gamitin ang distributive property para i-multiply ang 40000 gamit ang 1+\frac{3}{50}x.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+\left(40000+40000\times \frac{3}{50}x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Ipakita ang 40000\times \frac{3}{50} bilang isang single fraction.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+\left(40000+\frac{40000\times 3}{50}x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 40000 at 3 para makuha ang 120000.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+\left(40000+\frac{120000}{50}x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-divide ang 120000 gamit ang 50 para makuha ang 2400.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+\left(40000+2400x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Ilapat ang distributive property sa pamamagitan ng pag-multiply sa bawat term ng 40000+2400x sa bawat term ng 1-\frac{\frac{x}{4}}{100}.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Idagdag ang 1000000 at 40000 para makuha ang 1040000.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Pagsamahin ang 20000x at 2400x para makuha ang 22400x.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-divide ang 2x gamit ang 100 para makuha ang \frac{1}{50}x.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{1}{50}x\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 20 at 25 para makuha ang 500.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500\left(1+\frac{1}{50}x\right)+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Gamitin ang distributive property para i-multiply ang 500 gamit ang 1+\frac{1}{50}x.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+500\times \frac{1}{50}x+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 500 at \frac{1}{50} para makuha ang \frac{500}{50}.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+\frac{500}{50}x+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-divide ang 500 gamit ang 50 para makuha ang 10.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-divide ang 6x gamit ang 100 para makuha ang \frac{3}{50}x.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+5\left(1+\frac{3}{50}x\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 5 at 4 para makuha ang 20.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20\left(1+\frac{3}{50}x\right)\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Gamitin ang distributive property para i-multiply ang 20 gamit ang 1+\frac{3}{50}x.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20+20\times \frac{3}{50}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Ipakita ang 20\times \frac{3}{50} bilang isang single fraction.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20+\frac{20\times 3}{50}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 20 at 3 para makuha ang 60.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20+\frac{60}{50}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Bawasan ang fraction \frac{60}{50} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 10.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20+\frac{6}{5}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Idagdag ang 500 at 20 para makuha ang 520.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(520+10x+\frac{6}{5}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Pagsamahin ang 10x at \frac{6}{5}x para makuha ang \frac{56}{5}x.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(520+\frac{56}{5}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 100 at 20 para makuha ang 2000.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=2000\left(520+\frac{56}{5}x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Gamitin ang distributive property para i-multiply ang 2000 gamit ang 520+\frac{56}{5}x.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=\left(1040000+2000\times \frac{56}{5}x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Ipakita ang 2000\times \frac{56}{5} bilang isang single fraction.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=\left(1040000+\frac{2000\times 56}{5}x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 2000 at 56 para makuha ang 112000.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=\left(1040000+\frac{112000}{5}x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-divide ang 112000 gamit ang 5 para makuha ang 22400.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=\left(1040000+22400x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Ilapat ang distributive property sa pamamagitan ng pag-multiply sa bawat term ng 1040000+22400x sa bawat term ng 1-\frac{\frac{5x}{18}}{100}.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=1040000+1040000\left(-\frac{\frac{5x}{18}}{100}\right)+22400x+22400x\left(-\frac{\frac{5x}{18}}{100}\right)$$

I-subtract ang 1040000 mula sa magkabilang dulo.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000=1040000\left(-\frac{\frac{5x}{18}}{100}\right)+22400x+22400x\left(-\frac{\frac{5x}{18}}{100}\right)$$

I-subtract ang 1040000 mula sa 1040000 para makuha ang 0.

$$1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=1040000\left(-\frac{\frac{5x}{18}}{100}\right)+22400x+22400x\left(-\frac{\frac{5x}{18}}{100}\right)$$

I-subtract ang 1040000\left(-\frac{\frac{5x}{18}}{100}\right) mula sa magkabilang dulo.

$$1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000\left(-\frac{\frac{5x}{18}}{100}\right)=22400x+22400x\left(-\frac{\frac{5x}{18}}{100}\right)$$

I-subtract ang 22400x mula sa magkabilang dulo.

$$1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000\left(-\frac{\frac{5x}{18}}{100}\right)-22400x=22400x\left(-\frac{\frac{5x}{18}}{100}\right)$$

I-subtract ang 22400x\left(-\frac{\frac{5x}{18}}{100}\right) mula sa magkabilang dulo.

$$1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000\left(-\frac{\frac{5x}{18}}{100}\right)-22400x-22400x\left(-\frac{\frac{5x}{18}}{100}\right)=0$$

I-multiply ang magkabilang dulo ng equation gamit ang 100.

$$100\left(1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000\left(-\frac{\frac{5x}{18}}{100}\right)-22400x\right)-2240000x\left(-\frac{\frac{5x}{18}}{100}\right)=0$$

Pagsunud-sunurin ang mga term.

$$100\left(2400x\left(-\frac{x}{4\times 100}\right)+20000x\left(-\frac{3x}{10\times 100}\right)+40000\left(-\frac{x}{4\times 100}\right)+1000000\left(-\frac{3x}{10\times 100}\right)+22400x-1040000\left(-\frac{5x}{18\times 100}\right)-22400x\right)-2240000x\left(-\frac{5x}{18\times 100}\right)=0$$

I-multiply ang 40000 at -1 para makuha ang -40000. I-multiply ang 1000000 at -1 para makuha ang -1000000. I-multiply ang -1 at 1040000 para makuha ang -1040000.

$$100\left(2400x\left(-1\right)\times \frac{x}{4\times 100}+20000x\left(-1\right)\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

I-multiply ang 2400 at -1 para makuha ang -2400.

$$100\left(-2400x\times \frac{x}{4\times 100}+20000x\left(-1\right)\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

I-multiply ang 4 at 100 para makuha ang 400.

$$100\left(-2400x\times \frac{x}{400}+20000x\left(-1\right)\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

Kanselahin ang greatest common factor na 400 sa 2400 at 400.

$$100\left(-6xx+20000x\left(-1\right)\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

I-multiply ang 20000 at -1 para makuha ang -20000.

$$100\left(-6xx-20000x\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

I-multiply ang 10 at 100 para makuha ang 1000.

$$100\left(-6xx-20000x\times \frac{3x}{1000}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

Kanselahin ang greatest common factor na 1000 sa 20000 at 1000.

$$100\left(-6xx-20\times 3xx-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

I-multiply ang 4 at 100 para makuha ang 400.

$$100\left(-6xx-20\times 3xx-40000\times \frac{x}{400}-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

Kanselahin ang greatest common factor na 400 sa 40000 at 400.

$$100\left(-6xx-20\times 3xx-100x-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

I-multiply ang 10 at 100 para makuha ang 1000.

$$100\left(-6xx-20\times 3xx-100x-1000000\times \frac{3x}{1000}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

Kanselahin ang greatest common factor na 1000 sa 1000000 at 1000.

$$100\left(-6xx-20\times 3xx-100x-1000\times 3x+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

Pagsamahin ang -100x at 22400x para makuha ang 22300x.

$$100\left(-6xx-20\times 3xx+22300x-1000\times 3x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

I-multiply ang -1040000 at -1 para makuha ang 1040000.

$$100\left(-6xx-20\times 3xx+22300x-1000\times 3x+1040000\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

I-cancel out ang 5 sa parehong numerator at denominator.

$$100\left(-6xx-20\times 3xx+22300x-1000\times 3x+1040000\times \frac{x}{18\times 20}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

I-multiply ang 18 at 20 para makuha ang 360.

$$100\left(-6xx-20\times 3xx+22300x-1000\times 3x+1040000\times \frac{x}{360}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

Ipakita ang 1040000\times \frac{x}{360} bilang isang single fraction.

$$100\left(-6xx-20\times 3xx+22300x-1000\times 3x+\frac{1040000x}{360}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

Pagsamahin ang 22300x at -22400x para makuha ang -100x.

$$100\left(-6xx-20\times 3xx-100x-1000\times 3x+\frac{1040000x}{360}\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

I-multiply ang -20 at 3 para makuha ang -60. I-multiply ang -1000 at 3 para makuha ang -3000.

$$100\left(-6xx-60xx-100x-3000x+\frac{1040000x}{360}\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

Pagsamahin ang -6xx at -60xx para makuha ang -66xx.

$$100\left(-66xx-100x-3000x+\frac{1040000x}{360}\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

Pagsamahin ang -100x at -3000x para makuha ang -3100x.

$$100\left(-66xx-3100x+\frac{1040000x}{360}\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

Gamitin ang distributive property para i-multiply ang 100 gamit ang -66xx-3100x+\frac{1040000x}{360}.

$$-6600x^{2}-310000x+100\times \frac{1040000x}{360}-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

I-divide ang 1040000x gamit ang 360 para makuha ang \frac{26000}{9}x.

$$-6600x^{2}-310000x+100\times \frac{26000}{9}x-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

Ipakita ang 100\times \frac{26000}{9} bilang isang single fraction.

$$-6600x^{2}-310000x+\frac{100\times 26000}{9}x-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

I-multiply ang 100 at 26000 para makuha ang 2600000.

$$-6600x^{2}-310000x+\frac{2600000}{9}x-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

Pagsamahin ang -310000x at \frac{2600000}{9}x para makuha ang -\frac{190000}{9}x.

$$-6600x^{2}-\frac{190000}{9}x-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0$$

I-multiply ang -2240000 at -1 para makuha ang 2240000.

$$-6600x^{2}-\frac{190000}{9}x+2240000x\times \frac{5x}{18\times 100}=0$$

I-cancel out ang 5 sa parehong numerator at denominator.

$$-6600x^{2}-\frac{190000}{9}x+2240000x\times \frac{x}{18\times 20}=0$$

I-multiply ang 18 at 20 para makuha ang 360.

$$-6600x^{2}-\frac{190000}{9}x+2240000x\times \frac{x}{360}=0$$

Ipakita ang 2240000\times \frac{x}{360} bilang isang single fraction.

$$-6600x^{2}-\frac{190000}{9}x+\frac{2240000x}{360}x=0$$

I-divide ang 2240000x gamit ang 360 para makuha ang \frac{56000}{9}x.

$$-6600x^{2}-\frac{190000}{9}x+\frac{56000}{9}xx=0$$

I-multiply ang x at x para makuha ang x^{2}.

$$-6600x^{2}-\frac{190000}{9}x+\frac{56000}{9}x^{2}=0$$

Pagsamahin ang -6600x^{2} at \frac{56000}{9}x^{2} para makuha ang -\frac{3400}{9}x^{2}.

$$-\frac{3400}{9}x^{2}-\frac{190000}{9}x=0$$

Ang equation ay nasa standard form: ax^{2}+bx+c=0. I-substitute ang -\frac{3400}{9} para sa a, -\frac{190000}{9} para sa b, at 0 para sa c sa quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{-\left(-\frac{190000}{9}\right)±\sqrt{\left(-\frac{190000}{9}\right)^{2}}}{2\left(-\frac{3400}{9}\right)}$$

Kunin ang square root ng \left(-\frac{190000}{9}\right)^{2}.

$$x=\frac{-\left(-\frac{190000}{9}\right)±\frac{190000}{9}}{2\left(-\frac{3400}{9}\right)}$$

Ang kabaliktaran ng -\frac{190000}{9} ay \frac{190000}{9}.

$$x=\frac{\frac{190000}{9}±\frac{190000}{9}}{2\left(-\frac{3400}{9}\right)}$$

I-multiply ang 2 times -\frac{3400}{9}.

$$x=\frac{\frac{190000}{9}±\frac{190000}{9}}{-\frac{6800}{9}}$$

Ngayon, lutasin ang equation na x=\frac{\frac{190000}{9}±\frac{190000}{9}}{-\frac{6800}{9}} kapag ang ± ay plus. Idagdag ang \frac{190000}{9} sa \frac{190000}{9} sa pamamagitan ng paghahanap ng common denominator at pagdadagdag sa mga numerator. Pagkatapos ay ibawas ang fraction sa lowest terms nito kung posible.

$$x=\frac{\frac{380000}{9}}{-\frac{6800}{9}}$$

I-divide ang \frac{380000}{9} gamit ang -\frac{6800}{9} sa pamamagitan ng pagmu-multiply sa \frac{380000}{9} gamit ang reciprocal ng -\frac{6800}{9}.

$$x=-\frac{950}{17}$$

Ngayon, lutasin ang equation na x=\frac{\frac{190000}{9}±\frac{190000}{9}}{-\frac{6800}{9}} kapag ang ± ay minus. I-subtract ang \frac{190000}{9} mula sa \frac{190000}{9} sa pamamagitan ng paghahanap ng common denominator at pagsu-subtract sa mga numerator. Pagkatapos, i-reduce ang fraction sa lowest terms nito kung posible.

$$x=\frac{0}{-\frac{6800}{9}}$$

I-divide ang 0 gamit ang -\frac{6800}{9} sa pamamagitan ng pagmu-multiply sa 0 gamit ang reciprocal ng -\frac{6800}{9}.

$$x=0$$

Nalutas na ang equation.

$$x=-\frac{950}{17} x=0$$

Mga Hakbang sa Pagkukumpleto sa Square

I-multiply ang magkabilang dulo ng equation gamit ang 100.

$$2000\left(1+\frac{2x}{100}\right)\times 25\times 20\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-divide ang 2x gamit ang 100 para makuha ang \frac{1}{50}x.

$$2000\left(1+\frac{1}{50}x\right)\times 25\times 20\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 2000 at 25 para makuha ang 50000.

$$50000\left(1+\frac{1}{50}x\right)\times 20\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 50000 at 20 para makuha ang 1000000.

$$1000000\left(1+\frac{1}{50}x\right)\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Gamitin ang distributive property para i-multiply ang 1000000 gamit ang 1+\frac{1}{50}x.

$$\left(1000000+1000000\times \frac{1}{50}x\right)\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 1000000 at \frac{1}{50} para makuha ang \frac{1000000}{50}.

$$\left(1000000+\frac{1000000}{50}x\right)\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-divide ang 1000000 gamit ang 50 para makuha ang 20000.

$$\left(1000000+20000x\right)\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Ilapat ang distributive property sa pamamagitan ng pag-multiply sa bawat term ng 1000000+20000x sa bawat term ng 1-\frac{\frac{3x}{10}}{100}.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-divide ang 6x gamit ang 100 para makuha ang \frac{3}{50}x.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{3}{50}x\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 500 at 4 para makuha ang 2000.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+2000\left(1+\frac{3}{50}x\right)\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 2000 at 20 para makuha ang 40000.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(1+\frac{3}{50}x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Gamitin ang distributive property para i-multiply ang 40000 gamit ang 1+\frac{3}{50}x.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+\left(40000+40000\times \frac{3}{50}x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Ipakita ang 40000\times \frac{3}{50} bilang isang single fraction.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+\left(40000+\frac{40000\times 3}{50}x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 40000 at 3 para makuha ang 120000.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+\left(40000+\frac{120000}{50}x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-divide ang 120000 gamit ang 50 para makuha ang 2400.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+\left(40000+2400x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Ilapat ang distributive property sa pamamagitan ng pag-multiply sa bawat term ng 40000+2400x sa bawat term ng 1-\frac{\frac{x}{4}}{100}.

$$1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Idagdag ang 1000000 at 40000 para makuha ang 1040000.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Pagsamahin ang 20000x at 2400x para makuha ang 22400x.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-divide ang 2x gamit ang 100 para makuha ang \frac{1}{50}x.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{1}{50}x\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 20 at 25 para makuha ang 500.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500\left(1+\frac{1}{50}x\right)+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Gamitin ang distributive property para i-multiply ang 500 gamit ang 1+\frac{1}{50}x.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+500\times \frac{1}{50}x+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 500 at \frac{1}{50} para makuha ang \frac{500}{50}.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+\frac{500}{50}x+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-divide ang 500 gamit ang 50 para makuha ang 10.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-divide ang 6x gamit ang 100 para makuha ang \frac{3}{50}x.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+5\left(1+\frac{3}{50}x\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 5 at 4 para makuha ang 20.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20\left(1+\frac{3}{50}x\right)\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Gamitin ang distributive property para i-multiply ang 20 gamit ang 1+\frac{3}{50}x.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20+20\times \frac{3}{50}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Ipakita ang 20\times \frac{3}{50} bilang isang single fraction.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20+\frac{20\times 3}{50}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 20 at 3 para makuha ang 60.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20+\frac{60}{50}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Bawasan ang fraction \frac{60}{50} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 10.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20+\frac{6}{5}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Idagdag ang 500 at 20 para makuha ang 520.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(520+10x+\frac{6}{5}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Pagsamahin ang 10x at \frac{6}{5}x para makuha ang \frac{56}{5}x.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(520+\frac{56}{5}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 100 at 20 para makuha ang 2000.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=2000\left(520+\frac{56}{5}x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Gamitin ang distributive property para i-multiply ang 2000 gamit ang 520+\frac{56}{5}x.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=\left(1040000+2000\times \frac{56}{5}x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Ipakita ang 2000\times \frac{56}{5} bilang isang single fraction.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=\left(1040000+\frac{2000\times 56}{5}x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-multiply ang 2000 at 56 para makuha ang 112000.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=\left(1040000+\frac{112000}{5}x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)$$

I-divide ang 112000 gamit ang 5 para makuha ang 22400.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=\left(1040000+22400x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)$$

Ilapat ang distributive property sa pamamagitan ng pag-multiply sa bawat term ng 1040000+22400x sa bawat term ng 1-\frac{\frac{5x}{18}}{100}.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=1040000+1040000\left(-\frac{\frac{5x}{18}}{100}\right)+22400x+22400x\left(-\frac{\frac{5x}{18}}{100}\right)$$

I-subtract ang 1040000\left(-\frac{\frac{5x}{18}}{100}\right) mula sa magkabilang dulo.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000\left(-\frac{\frac{5x}{18}}{100}\right)=1040000+22400x+22400x\left(-\frac{\frac{5x}{18}}{100}\right)$$

I-subtract ang 22400x mula sa magkabilang dulo.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000\left(-\frac{\frac{5x}{18}}{100}\right)-22400x=1040000+22400x\left(-\frac{\frac{5x}{18}}{100}\right)$$

I-subtract ang 22400x\left(-\frac{\frac{5x}{18}}{100}\right) mula sa magkabilang dulo.

$$1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000\left(-\frac{\frac{5x}{18}}{100}\right)-22400x-22400x\left(-\frac{\frac{5x}{18}}{100}\right)=1040000$$

I-multiply ang magkabilang dulo ng equation gamit ang 100.

$$100\left(1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000\left(-\frac{\frac{5x}{18}}{100}\right)-22400x\right)-2240000x\left(-\frac{\frac{5x}{18}}{100}\right)=104000000$$

Pagsunud-sunurin ang mga term.

$$100\left(2400x\left(-\frac{x}{4\times 100}\right)+20000x\left(-\frac{3x}{10\times 100}\right)+40000\left(-\frac{x}{4\times 100}\right)+1000000\left(-\frac{3x}{10\times 100}\right)+22400x+1040000-1040000\left(-\frac{5x}{18\times 100}\right)-22400x\right)-2240000x\left(-\frac{5x}{18\times 100}\right)=104000000$$

I-multiply ang 40000 at -1 para makuha ang -40000. I-multiply ang 1000000 at -1 para makuha ang -1000000. I-multiply ang -1 at 1040000 para makuha ang -1040000.

$$100\left(2400x\left(-1\right)\times \frac{x}{4\times 100}+20000x\left(-1\right)\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

I-multiply ang 2400 at -1 para makuha ang -2400.

$$100\left(-2400x\times \frac{x}{4\times 100}+20000x\left(-1\right)\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

I-multiply ang 4 at 100 para makuha ang 400.

$$100\left(-2400x\times \frac{x}{400}+20000x\left(-1\right)\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

Kanselahin ang greatest common factor na 400 sa 2400 at 400.

$$100\left(-6xx+20000x\left(-1\right)\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

I-multiply ang 20000 at -1 para makuha ang -20000.

$$100\left(-6xx-20000x\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

I-multiply ang 10 at 100 para makuha ang 1000.

$$100\left(-6xx-20000x\times \frac{3x}{1000}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

Kanselahin ang greatest common factor na 1000 sa 20000 at 1000.

$$100\left(-6xx-20\times 3xx-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

I-multiply ang 4 at 100 para makuha ang 400.

$$100\left(-6xx-20\times 3xx-40000\times \frac{x}{400}-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

Kanselahin ang greatest common factor na 400 sa 40000 at 400.

$$100\left(-6xx-20\times 3xx-100x-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

I-multiply ang 10 at 100 para makuha ang 1000.

$$100\left(-6xx-20\times 3xx-100x-1000000\times \frac{3x}{1000}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

Kanselahin ang greatest common factor na 1000 sa 1000000 at 1000.

$$100\left(-6xx-20\times 3xx-100x-1000\times 3x+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

Pagsamahin ang -100x at 22400x para makuha ang 22300x.

$$100\left(-6xx-20\times 3xx+22300x-1000\times 3x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

I-multiply ang -1040000 at -1 para makuha ang 1040000.

$$100\left(-6xx-20\times 3xx+22300x-1000\times 3x+1040000+1040000\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

I-cancel out ang 5 sa parehong numerator at denominator.

$$100\left(-6xx-20\times 3xx+22300x-1000\times 3x+1040000+1040000\times \frac{x}{18\times 20}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

I-multiply ang 18 at 20 para makuha ang 360.

$$100\left(-6xx-20\times 3xx+22300x-1000\times 3x+1040000+1040000\times \frac{x}{360}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

Ipakita ang 1040000\times \frac{x}{360} bilang isang single fraction.

$$100\left(-6xx-20\times 3xx+22300x-1000\times 3x+1040000+\frac{1040000x}{360}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

Pagsamahin ang 22300x at -22400x para makuha ang -100x.

$$100\left(-6xx-20\times 3xx-100x-1000\times 3x+1040000+\frac{1040000x}{360}\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

I-multiply ang -20 at 3 para makuha ang -60. I-multiply ang -1000 at 3 para makuha ang -3000.

$$100\left(-6xx-60xx-100x-3000x+1040000+\frac{1040000x}{360}\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

Pagsamahin ang -6xx at -60xx para makuha ang -66xx.

$$100\left(-66xx-100x-3000x+1040000+\frac{1040000x}{360}\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

Pagsamahin ang -100x at -3000x para makuha ang -3100x.

$$100\left(-66xx-3100x+1040000+\frac{1040000x}{360}\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

Gamitin ang distributive property para i-multiply ang 100 gamit ang -66xx-3100x+1040000+\frac{1040000x}{360}.

$$-6600x^{2}-310000x+104000000+100\times \frac{1040000x}{360}-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

I-divide ang 1040000x gamit ang 360 para makuha ang \frac{26000}{9}x.

$$-6600x^{2}-310000x+104000000+100\times \frac{26000}{9}x-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

Ipakita ang 100\times \frac{26000}{9} bilang isang single fraction.

$$-6600x^{2}-310000x+104000000+\frac{100\times 26000}{9}x-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

I-multiply ang 100 at 26000 para makuha ang 2600000.

$$-6600x^{2}-310000x+104000000+\frac{2600000}{9}x-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

Pagsamahin ang -310000x at \frac{2600000}{9}x para makuha ang -\frac{190000}{9}x.

$$-6600x^{2}-\frac{190000}{9}x+104000000-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000$$

I-multiply ang -2240000 at -1 para makuha ang 2240000.

$$-6600x^{2}-\frac{190000}{9}x+104000000+2240000x\times \frac{5x}{18\times 100}=104000000$$

I-cancel out ang 5 sa parehong numerator at denominator.

$$-6600x^{2}-\frac{190000}{9}x+104000000+2240000x\times \frac{x}{18\times 20}=104000000$$

I-multiply ang 18 at 20 para makuha ang 360.

$$-6600x^{2}-\frac{190000}{9}x+104000000+2240000x\times \frac{x}{360}=104000000$$

Ipakita ang 2240000\times \frac{x}{360} bilang isang single fraction.

$$-6600x^{2}-\frac{190000}{9}x+104000000+\frac{2240000x}{360}x=104000000$$

I-divide ang 2240000x gamit ang 360 para makuha ang \frac{56000}{9}x.

$$-6600x^{2}-\frac{190000}{9}x+104000000+\frac{56000}{9}xx=104000000$$

I-multiply ang x at x para makuha ang x^{2}.

$$-6600x^{2}-\frac{190000}{9}x+104000000+\frac{56000}{9}x^{2}=104000000$$

Pagsamahin ang -6600x^{2} at \frac{56000}{9}x^{2} para makuha ang -\frac{3400}{9}x^{2}.

$$-\frac{3400}{9}x^{2}-\frac{190000}{9}x+104000000=104000000$$

I-subtract ang 104000000 mula sa magkabilang dulo.

$$-\frac{3400}{9}x^{2}-\frac{190000}{9}x=104000000-104000000$$

I-subtract ang 104000000 mula sa 104000000 para makuha ang 0.

$$-\frac{3400}{9}x^{2}-\frac{190000}{9}x=0$$

I-divide ang magkabilang dulo ng equation gamit ang -\frac{3400}{9}, na katumbas ng pagmu-multiply sa magkabilang dulo ng reciprocal ng fraction.

$$\frac{-\frac{3400}{9}x^{2}-\frac{190000}{9}x}{-\frac{3400}{9}}=\frac{0}{-\frac{3400}{9}}$$

Kapag na-divide gamit ang -\frac{3400}{9}, ma-a-undo ang multiplication gamit ang -\frac{3400}{9}.

$$x^{2}+\left(-\frac{\frac{190000}{9}}{-\frac{3400}{9}}\right)x=\frac{0}{-\frac{3400}{9}}$$

I-divide ang -\frac{190000}{9} gamit ang -\frac{3400}{9} sa pamamagitan ng pagmu-multiply sa -\frac{190000}{9} gamit ang reciprocal ng -\frac{3400}{9}.

$$x^{2}+\frac{950}{17}x=\frac{0}{-\frac{3400}{9}}$$

I-divide ang 0 gamit ang -\frac{3400}{9} sa pamamagitan ng pagmu-multiply sa 0 gamit ang reciprocal ng -\frac{3400}{9}.

$$x^{2}+\frac{950}{17}x=0$$

I-divide ang \frac{950}{17}, ang coefficient ng x term, gamit ang 2 para makuha ang \frac{475}{17}. Pagkatapos ay idagdag ang square ng \frac{475}{17} sa magkabilang panig ng equation. Kapag ginawa ang hakbang na ito, magiging perfect square ang kaliwang panig ng equation.

$$x^{2}+\frac{950}{17}x+\left(\frac{475}{17}\right)^{2}=\left(\frac{475}{17}\right)^{2}$$

I-square ang \frac{475}{17} sa pamamagitan ng pagse-square sa numerator at denominator ng fraction.

$$x^{2}+\frac{950}{17}x+\frac{225625}{289}=\frac{225625}{289}$$

I-factor ang x^{2}+\frac{950}{17}x+\frac{225625}{289}. Sa pangkalahatan, kapag ang x^{2}+bx+c ay perfect square, maaari itong palaging i-factor bilang \left(x+\frac{b}{2}\right)^{2}.

$$\left(x+\frac{475}{17}\right)^{2}=\frac{225625}{289}$$

Kunin ang square root ng magkabilang dulo ng equation.

$$\sqrt{\left(x+\frac{475}{17}\right)^{2}}=\sqrt{\frac{225625}{289}}$$

Pasimplehin.

$$x+\frac{475}{17}=\frac{475}{17} x+\frac{475}{17}=-\frac{475}{17}$$

I-subtract ang \frac{475}{17} mula sa magkabilang dulo ng equation.

$$x=0 x=-\frac{950}{17}$$