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) সমাধান কৰক

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

x-ৰ বাবে সমাধান কৰক

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

$$x=0$$

কুৱাড্ৰেটিক সূত্ৰ ব্যৱহাৰ কৰি পদক্ষেপসমূহ

100-ৰ দ্বাৰা সমীকৰণৰ দুয়োটা দিশক পুৰণ কৰক৷

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

\frac{1}{50}x লাভ কৰিবলৈ 100ৰ দ্বাৰা 2x হৰণ কৰক৷

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

50000 লাভ কৰিবৰ বাবে 2000 আৰু 25 পুৰণ কৰক৷

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

1000000 লাভ কৰিবৰ বাবে 50000 আৰু 20 পুৰণ কৰক৷

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

1000000ক 1+\frac{1}{50}xৰে পূৰণ কৰিবলৈ বিতৰক উপাদান ব্যৱহাৰ কৰক৷

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

\frac{1000000}{50} লাভ কৰিবৰ বাবে 1000000 আৰু \frac{1}{50} পুৰণ কৰক৷

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

20000 লাভ কৰিবলৈ 50ৰ দ্বাৰা 1000000 হৰণ কৰক৷

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

1000000+20000xৰ প্ৰতিটো পদক 1-\frac{\frac{3x}{10}}{100}ৰ প্ৰতিটো পদেৰে পূৰণ কৰি বিভাজন ধৰ্মটো প্ৰয়োগ কৰক৷

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

\frac{3}{50}x লাভ কৰিবলৈ 100ৰ দ্বাৰা 6x হৰণ কৰক৷

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

2000 লাভ কৰিবৰ বাবে 500 আৰু 4 পুৰণ কৰক৷

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

40000 লাভ কৰিবৰ বাবে 2000 আৰু 20 পুৰণ কৰক৷

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

40000ক 1+\frac{3}{50}xৰে পূৰণ কৰিবলৈ বিতৰক উপাদান ব্যৱহাৰ কৰক৷

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

এটা একক ভগ্নাংশ ৰূপে 40000\times \frac{3}{50} প্ৰকাশ কৰক৷

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

120000 লাভ কৰিবৰ বাবে 40000 আৰু 3 পুৰণ কৰক৷

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

2400 লাভ কৰিবলৈ 50ৰ দ্বাৰা 120000 হৰণ কৰক৷

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

40000+2400xৰ প্ৰতিটো পদক 1-\frac{\frac{x}{4}}{100}ৰ প্ৰতিটো পদেৰে পূৰণ কৰি বিভাজন ধৰ্মটো প্ৰয়োগ কৰক৷

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

1040000 লাভ কৰিবৰ বাবে 1000000 আৰু 40000 যোগ কৰক৷

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

22400x লাভ কৰিবলৈ 20000x আৰু 2400x একত্ৰ কৰক৷

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

\frac{1}{50}x লাভ কৰিবলৈ 100ৰ দ্বাৰা 2x হৰণ কৰক৷

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

500 লাভ কৰিবৰ বাবে 20 আৰু 25 পুৰণ কৰক৷

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

500ক 1+\frac{1}{50}xৰে পূৰণ কৰিবলৈ বিতৰক উপাদান ব্যৱহাৰ কৰক৷

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

\frac{500}{50} লাভ কৰিবৰ বাবে 500 আৰু \frac{1}{50} পুৰণ কৰক৷

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

10 লাভ কৰিবলৈ 50ৰ দ্বাৰা 500 হৰণ কৰক৷

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

\frac{3}{50}x লাভ কৰিবলৈ 100ৰ দ্বাৰা 6x হৰণ কৰক৷

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

20 লাভ কৰিবৰ বাবে 5 আৰু 4 পুৰণ কৰক৷

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

20ক 1+\frac{3}{50}xৰে পূৰণ কৰিবলৈ বিতৰক উপাদান ব্যৱহাৰ কৰক৷

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

এটা একক ভগ্নাংশ ৰূপে 20\times \frac{3}{50} প্ৰকাশ কৰক৷

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

60 লাভ কৰিবৰ বাবে 20 আৰু 3 পুৰণ কৰক৷

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

10 এক্সট্ৰেক্ট আৰু বাতিল কৰি \frac{60}{50} ভগ্নাংশক নিম্নতম পদলৈ হ্ৰাস কৰক।

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

520 লাভ কৰিবৰ বাবে 500 আৰু 20 যোগ কৰক৷

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

\frac{56}{5}x লাভ কৰিবলৈ 10x আৰু \frac{6}{5}x একত্ৰ কৰক৷

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

2000 লাভ কৰিবৰ বাবে 100 আৰু 20 পুৰণ কৰক৷

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

2000ক 520+\frac{56}{5}xৰে পূৰণ কৰিবলৈ বিতৰক উপাদান ব্যৱহাৰ কৰক৷

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

এটা একক ভগ্নাংশ ৰূপে 2000\times \frac{56}{5} প্ৰকাশ কৰক৷

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

112000 লাভ কৰিবৰ বাবে 2000 আৰু 56 পুৰণ কৰক৷

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

22400 লাভ কৰিবলৈ 5ৰ দ্বাৰা 112000 হৰণ কৰক৷

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

1040000+22400xৰ প্ৰতিটো পদক 1-\frac{\frac{5x}{18}}{100}ৰ প্ৰতিটো পদেৰে পূৰণ কৰি বিভাজন ধৰ্মটো প্ৰয়োগ কৰক৷

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

দুয়োটা দিশৰ পৰা 1040000 বিয়োগ কৰক৷

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

0 লাভ কৰিবলৈ 1040000-ৰ পৰা 1040000 বিয়োগ কৰক৷

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

দুয়োটা দিশৰ পৰা 1040000\left(-\frac{\frac{5x}{18}}{100}\right) বিয়োগ কৰক৷

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

দুয়োটা দিশৰ পৰা 22400x বিয়োগ কৰক৷

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

দুয়োটা দিশৰ পৰা 22400x\left(-\frac{\frac{5x}{18}}{100}\right) বিয়োগ কৰক৷

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

100-ৰ দ্বাৰা সমীকৰণৰ দুয়োটা দিশক পুৰণ কৰক৷

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

পদসমূহ ৰেকৰ্ড কৰক৷

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

-40000 লাভ কৰিবৰ বাবে 40000 আৰু -1 পুৰণ কৰক৷ -1000000 লাভ কৰিবৰ বাবে 1000000 আৰু -1 পুৰণ কৰক৷ -1040000 লাভ কৰিবৰ বাবে -1 আৰু 1040000 পুৰণ কৰক৷

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

-2400 লাভ কৰিবৰ বাবে 2400 আৰু -1 পুৰণ কৰক৷

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

400 লাভ কৰিবৰ বাবে 4 আৰু 100 পুৰণ কৰক৷

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

2400 আৰু 400-ত সৰ্বাধিক পৰিচিত কাৰক 400 বাতিল কৰাটো বাদ দিয়ক৷

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

-20000 লাভ কৰিবৰ বাবে 20000 আৰু -1 পুৰণ কৰক৷

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

1000 লাভ কৰিবৰ বাবে 10 আৰু 100 পুৰণ কৰক৷

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

20000 আৰু 1000-ত সৰ্বাধিক পৰিচিত কাৰক 1000 বাতিল কৰাটো বাদ দিয়ক৷

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

400 লাভ কৰিবৰ বাবে 4 আৰু 100 পুৰণ কৰক৷

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

40000 আৰু 400-ত সৰ্বাধিক পৰিচিত কাৰক 400 বাতিল কৰাটো বাদ দিয়ক৷

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

1000 লাভ কৰিবৰ বাবে 10 আৰু 100 পুৰণ কৰক৷

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

1000000 আৰু 1000-ত সৰ্বাধিক পৰিচিত কাৰক 1000 বাতিল কৰাটো বাদ দিয়ক৷

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

22300x লাভ কৰিবলৈ -100x আৰু 22400x একত্ৰ কৰক৷

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

1040000 লাভ কৰিবৰ বাবে -1040000 আৰু -1 পুৰণ কৰক৷

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

নিউমেটৰ আৰু ডেনোমিনেটৰ দুয়োটাতে 5 সমান কৰক৷

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

360 লাভ কৰিবৰ বাবে 18 আৰু 20 পুৰণ কৰক৷

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

এটা একক ভগ্নাংশ ৰূপে 1040000\times \frac{x}{360} প্ৰকাশ কৰক৷

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

-100x লাভ কৰিবলৈ 22300x আৰু -22400x একত্ৰ কৰক৷

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

-60 লাভ কৰিবৰ বাবে -20 আৰু 3 পুৰণ কৰক৷ -3000 লাভ কৰিবৰ বাবে -1000 আৰু 3 পুৰণ কৰক৷

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

-66xx লাভ কৰিবলৈ -6xx আৰু -60xx একত্ৰ কৰক৷

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

-3100x লাভ কৰিবলৈ -100x আৰু -3000x একত্ৰ কৰক৷

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

100ক -66xx-3100x+\frac{1040000x}{360}ৰে পূৰণ কৰিবলৈ বিতৰক উপাদান ব্যৱহাৰ কৰক৷

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

\frac{26000}{9}x লাভ কৰিবলৈ 360ৰ দ্বাৰা 1040000x হৰণ কৰক৷

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

এটা একক ভগ্নাংশ ৰূপে 100\times \frac{26000}{9} প্ৰকাশ কৰক৷

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

2600000 লাভ কৰিবৰ বাবে 100 আৰু 26000 পুৰণ কৰক৷

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

-\frac{190000}{9}x লাভ কৰিবলৈ -310000x আৰু \frac{2600000}{9}x একত্ৰ কৰক৷

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

2240000 লাভ কৰিবৰ বাবে -2240000 আৰু -1 পুৰণ কৰক৷

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

নিউমেটৰ আৰু ডেনোমিনেটৰ দুয়োটাতে 5 সমান কৰক৷

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

360 লাভ কৰিবৰ বাবে 18 আৰু 20 পুৰণ কৰক৷

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

এটা একক ভগ্নাংশ ৰূপে 2240000\times \frac{x}{360} প্ৰকাশ কৰক৷

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

\frac{56000}{9}x লাভ কৰিবলৈ 360ৰ দ্বাৰা 2240000x হৰণ কৰক৷

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

x^{2} লাভ কৰিবৰ বাবে x আৰু x পুৰণ কৰক৷

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

-\frac{3400}{9}x^{2} লাভ কৰিবলৈ -6600x^{2} আৰু \frac{56000}{9}x^{2} একত্ৰ কৰক৷

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

এই সমীকৰণটো এটা মান্য ৰূপত আছে: ax^{2}+bx+c=0. কুৱাড্ৰেটিক সূত্ৰ \frac{-b±\sqrt{b^{2}-4ac}}{2a}-ত a-ৰ বাবে -\frac{3400}{9}, b-ৰ বাবে -\frac{190000}{9}, c-ৰ বাবে 0 চাবষ্টিটিউট৷

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

\left(-\frac{190000}{9}\right)^{2}-ৰ বৰ্গমূল লওক৷

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

-\frac{190000}{9}ৰ বিপৰীত হৈছে \frac{190000}{9}৷

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

2 বাৰ -\frac{3400}{9} পুৰণ কৰক৷

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

এতিয়া ± যোগ হ’লে সমীকৰণ x=\frac{\frac{190000}{9}±\frac{190000}{9}}{-\frac{6800}{9}} সমাধান কৰক৷ এটা উমৈহতীয়া বিভাজক বিচাৰি আৰু অংশ গণক যোগ কৰি \frac{190000}{9} লৈ \frac{190000}{9} যোগ কৰক৷ ইয়াৰ পিছত যদি সম্ভৱ হয়, তেতিয়া একেবাৰে সৰ্বনিম্ন সময় সীমালৈ ভগ্নাংশক হ্ৰাস কৰক৷

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

-\frac{6800}{9}-ৰ ব্যতিক্ৰমৰ দ্বাৰা \frac{380000}{9} পুৰণ কৰি -\frac{6800}{9}-ৰ দ্বাৰা \frac{380000}{9} হৰণ কৰক৷

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

এতিয়া ± বিয়োগ হ’লে সমীকৰণ x=\frac{\frac{190000}{9}±\frac{190000}{9}}{-\frac{6800}{9}} সমাধান কৰক৷ এটা উমৈহতীয়া বিভাজক বিচাৰি আৰু অংশ গণক বিয়োগ কৰি \frac{190000}{9}-ৰ পৰা \frac{190000}{9} বিয়োগ কৰক৷ ইয়াৰ পিছত ভাজকক সৰ্বনিম্ন পদৰ পৰা যদি সম্ভৱ হয়, তেতিয়া হ্ৰাস কৰক৷

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

-\frac{6800}{9}-ৰ ব্যতিক্ৰমৰ দ্বাৰা 0 পুৰণ কৰি -\frac{6800}{9}-ৰ দ্বাৰা 0 হৰণ কৰক৷

$$x=0$$

সমীকৰণটো এতিয়া সমাধান হৈছে৷

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

বৰ্গ সম্পূৰ্ণ কৰিবৰ বাবে পদক্ষেপসমূহ

100-ৰ দ্বাৰা সমীকৰণৰ দুয়োটা দিশক পুৰণ কৰক৷

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

\frac{1}{50}x লাভ কৰিবলৈ 100ৰ দ্বাৰা 2x হৰণ কৰক৷

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

50000 লাভ কৰিবৰ বাবে 2000 আৰু 25 পুৰণ কৰক৷

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

1000000 লাভ কৰিবৰ বাবে 50000 আৰু 20 পুৰণ কৰক৷

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

1000000ক 1+\frac{1}{50}xৰে পূৰণ কৰিবলৈ বিতৰক উপাদান ব্যৱহাৰ কৰক৷

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

\frac{1000000}{50} লাভ কৰিবৰ বাবে 1000000 আৰু \frac{1}{50} পুৰণ কৰক৷

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

20000 লাভ কৰিবলৈ 50ৰ দ্বাৰা 1000000 হৰণ কৰক৷

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

1000000+20000xৰ প্ৰতিটো পদক 1-\frac{\frac{3x}{10}}{100}ৰ প্ৰতিটো পদেৰে পূৰণ কৰি বিভাজন ধৰ্মটো প্ৰয়োগ কৰক৷

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

\frac{3}{50}x লাভ কৰিবলৈ 100ৰ দ্বাৰা 6x হৰণ কৰক৷

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

2000 লাভ কৰিবৰ বাবে 500 আৰু 4 পুৰণ কৰক৷

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

40000 লাভ কৰিবৰ বাবে 2000 আৰু 20 পুৰণ কৰক৷

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

40000ক 1+\frac{3}{50}xৰে পূৰণ কৰিবলৈ বিতৰক উপাদান ব্যৱহাৰ কৰক৷

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

এটা একক ভগ্নাংশ ৰূপে 40000\times \frac{3}{50} প্ৰকাশ কৰক৷

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

120000 লাভ কৰিবৰ বাবে 40000 আৰু 3 পুৰণ কৰক৷

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

2400 লাভ কৰিবলৈ 50ৰ দ্বাৰা 120000 হৰণ কৰক৷

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

40000+2400xৰ প্ৰতিটো পদক 1-\frac{\frac{x}{4}}{100}ৰ প্ৰতিটো পদেৰে পূৰণ কৰি বিভাজন ধৰ্মটো প্ৰয়োগ কৰক৷

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

1040000 লাভ কৰিবৰ বাবে 1000000 আৰু 40000 যোগ কৰক৷

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

22400x লাভ কৰিবলৈ 20000x আৰু 2400x একত্ৰ কৰক৷

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

\frac{1}{50}x লাভ কৰিবলৈ 100ৰ দ্বাৰা 2x হৰণ কৰক৷

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

500 লাভ কৰিবৰ বাবে 20 আৰু 25 পুৰণ কৰক৷

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

500ক 1+\frac{1}{50}xৰে পূৰণ কৰিবলৈ বিতৰক উপাদান ব্যৱহাৰ কৰক৷

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

\frac{500}{50} লাভ কৰিবৰ বাবে 500 আৰু \frac{1}{50} পুৰণ কৰক৷

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

10 লাভ কৰিবলৈ 50ৰ দ্বাৰা 500 হৰণ কৰক৷

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

\frac{3}{50}x লাভ কৰিবলৈ 100ৰ দ্বাৰা 6x হৰণ কৰক৷

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

20 লাভ কৰিবৰ বাবে 5 আৰু 4 পুৰণ কৰক৷

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

20ক 1+\frac{3}{50}xৰে পূৰণ কৰিবলৈ বিতৰক উপাদান ব্যৱহাৰ কৰক৷

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

এটা একক ভগ্নাংশ ৰূপে 20\times \frac{3}{50} প্ৰকাশ কৰক৷

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

60 লাভ কৰিবৰ বাবে 20 আৰু 3 পুৰণ কৰক৷

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

10 এক্সট্ৰেক্ট আৰু বাতিল কৰি \frac{60}{50} ভগ্নাংশক নিম্নতম পদলৈ হ্ৰাস কৰক।

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

520 লাভ কৰিবৰ বাবে 500 আৰু 20 যোগ কৰক৷

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

\frac{56}{5}x লাভ কৰিবলৈ 10x আৰু \frac{6}{5}x একত্ৰ কৰক৷

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

2000 লাভ কৰিবৰ বাবে 100 আৰু 20 পুৰণ কৰক৷

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

2000ক 520+\frac{56}{5}xৰে পূৰণ কৰিবলৈ বিতৰক উপাদান ব্যৱহাৰ কৰক৷

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

এটা একক ভগ্নাংশ ৰূপে 2000\times \frac{56}{5} প্ৰকাশ কৰক৷

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

112000 লাভ কৰিবৰ বাবে 2000 আৰু 56 পুৰণ কৰক৷

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

22400 লাভ কৰিবলৈ 5ৰ দ্বাৰা 112000 হৰণ কৰক৷

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

1040000+22400xৰ প্ৰতিটো পদক 1-\frac{\frac{5x}{18}}{100}ৰ প্ৰতিটো পদেৰে পূৰণ কৰি বিভাজন ধৰ্মটো প্ৰয়োগ কৰক৷

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

দুয়োটা দিশৰ পৰা 1040000\left(-\frac{\frac{5x}{18}}{100}\right) বিয়োগ কৰক৷

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

দুয়োটা দিশৰ পৰা 22400x বিয়োগ কৰক৷

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

দুয়োটা দিশৰ পৰা 22400x\left(-\frac{\frac{5x}{18}}{100}\right) বিয়োগ কৰক৷

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

100-ৰ দ্বাৰা সমীকৰণৰ দুয়োটা দিশক পুৰণ কৰক৷

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

পদসমূহ ৰেকৰ্ড কৰক৷

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

-40000 লাভ কৰিবৰ বাবে 40000 আৰু -1 পুৰণ কৰক৷ -1000000 লাভ কৰিবৰ বাবে 1000000 আৰু -1 পুৰণ কৰক৷ -1040000 লাভ কৰিবৰ বাবে -1 আৰু 1040000 পুৰণ কৰক৷

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

-2400 লাভ কৰিবৰ বাবে 2400 আৰু -1 পুৰণ কৰক৷

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

400 লাভ কৰিবৰ বাবে 4 আৰু 100 পুৰণ কৰক৷

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

2400 আৰু 400-ত সৰ্বাধিক পৰিচিত কাৰক 400 বাতিল কৰাটো বাদ দিয়ক৷

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

-20000 লাভ কৰিবৰ বাবে 20000 আৰু -1 পুৰণ কৰক৷

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

1000 লাভ কৰিবৰ বাবে 10 আৰু 100 পুৰণ কৰক৷

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

20000 আৰু 1000-ত সৰ্বাধিক পৰিচিত কাৰক 1000 বাতিল কৰাটো বাদ দিয়ক৷

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

400 লাভ কৰিবৰ বাবে 4 আৰু 100 পুৰণ কৰক৷

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

40000 আৰু 400-ত সৰ্বাধিক পৰিচিত কাৰক 400 বাতিল কৰাটো বাদ দিয়ক৷

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

1000 লাভ কৰিবৰ বাবে 10 আৰু 100 পুৰণ কৰক৷

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

1000000 আৰু 1000-ত সৰ্বাধিক পৰিচিত কাৰক 1000 বাতিল কৰাটো বাদ দিয়ক৷

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

22300x লাভ কৰিবলৈ -100x আৰু 22400x একত্ৰ কৰক৷

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

1040000 লাভ কৰিবৰ বাবে -1040000 আৰু -1 পুৰণ কৰক৷

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

নিউমেটৰ আৰু ডেনোমিনেটৰ দুয়োটাতে 5 সমান কৰক৷

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

360 লাভ কৰিবৰ বাবে 18 আৰু 20 পুৰণ কৰক৷

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

এটা একক ভগ্নাংশ ৰূপে 1040000\times \frac{x}{360} প্ৰকাশ কৰক৷

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

-100x লাভ কৰিবলৈ 22300x আৰু -22400x একত্ৰ কৰক৷

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

-60 লাভ কৰিবৰ বাবে -20 আৰু 3 পুৰণ কৰক৷ -3000 লাভ কৰিবৰ বাবে -1000 আৰু 3 পুৰণ কৰক৷

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

-66xx লাভ কৰিবলৈ -6xx আৰু -60xx একত্ৰ কৰক৷

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

-3100x লাভ কৰিবলৈ -100x আৰু -3000x একত্ৰ কৰক৷

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

100ক -66xx-3100x+1040000+\frac{1040000x}{360}ৰে পূৰণ কৰিবলৈ বিতৰক উপাদান ব্যৱহাৰ কৰক৷

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

\frac{26000}{9}x লাভ কৰিবলৈ 360ৰ দ্বাৰা 1040000x হৰণ কৰক৷

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

এটা একক ভগ্নাংশ ৰূপে 100\times \frac{26000}{9} প্ৰকাশ কৰক৷

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

2600000 লাভ কৰিবৰ বাবে 100 আৰু 26000 পুৰণ কৰক৷

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

-\frac{190000}{9}x লাভ কৰিবলৈ -310000x আৰু \frac{2600000}{9}x একত্ৰ কৰক৷

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

2240000 লাভ কৰিবৰ বাবে -2240000 আৰু -1 পুৰণ কৰক৷

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

নিউমেটৰ আৰু ডেনোমিনেটৰ দুয়োটাতে 5 সমান কৰক৷

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

360 লাভ কৰিবৰ বাবে 18 আৰু 20 পুৰণ কৰক৷

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

এটা একক ভগ্নাংশ ৰূপে 2240000\times \frac{x}{360} প্ৰকাশ কৰক৷

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

\frac{56000}{9}x লাভ কৰিবলৈ 360ৰ দ্বাৰা 2240000x হৰণ কৰক৷

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

x^{2} লাভ কৰিবৰ বাবে x আৰু x পুৰণ কৰক৷

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

-\frac{3400}{9}x^{2} লাভ কৰিবলৈ -6600x^{2} আৰু \frac{56000}{9}x^{2} একত্ৰ কৰক৷

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

দুয়োটা দিশৰ পৰা 104000000 বিয়োগ কৰক৷

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

0 লাভ কৰিবলৈ 104000000-ৰ পৰা 104000000 বিয়োগ কৰক৷

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

-\frac{3400}{9}-ৰ দ্বাৰা দুয়োটা দিশৰ সমীকৰণ হৰণ কৰক, যি ভগ্নাংশৰ ব্যতিক্ৰমৰ দ্বাৰা দুয়োটা দিশৰ গুণিতকৰ দৰে একে৷

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

-\frac{3400}{9}-ৰ দ্বাৰা হৰণ কৰিলে -\frac{3400}{9}-ৰ দ্বাৰা কৰা পুৰণক পূৰ্বৰ দৰে কৰি দিয়ে৷

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

-\frac{3400}{9}-ৰ ব্যতিক্ৰমৰ দ্বাৰা -\frac{190000}{9} পুৰণ কৰি -\frac{3400}{9}-ৰ দ্বাৰা -\frac{190000}{9} হৰণ কৰক৷

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

-\frac{3400}{9}-ৰ ব্যতিক্ৰমৰ দ্বাৰা 0 পুৰণ কৰি -\frac{3400}{9}-ৰ দ্বাৰা 0 হৰণ কৰক৷

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

\frac{950}{17} হৰণ কৰক, \frac{475}{17} লাভ কৰিবলৈ 2ৰ দ্বাৰা x ৰাশিৰ দ্বিঘাত৷ ইয়াৰ পাছত সমীকৰণৰ দুয়োটা দিশতে \frac{475}{17}ৰ বৰ্গ যোগ কৰক৷ এই পদক্ষেপে সমীকৰণৰ বাঁও দিশক এটা নিখুত বৰ্গত পৰিণত কৰে৷

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

ভগ্নাংশৰ নিমাৰেটৰ আৰু ডেনোমিনেটৰ দুয়োটাকে বৰ্গীকৰণ কৰি \frac{475}{17} বৰ্গ কৰক৷

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

উৎপাদক x^{2}+\frac{950}{17}x+\frac{225625}{289} । সাধাৰণতে, যেতিয়া x^{2}+bx+c এটা পূৰ্ণ বৰ্গ হয় তেতিয়া ইয়াক সদায়ে \left(x+\frac{b}{2}\right)^{2} হিচাপে উৎপাদক বিশ্লেষণ কৰিব পৰা যায় ।

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

সমীকৰণৰ দুয়োটা দিশৰ বৰ্গমূল লওক৷

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

সৰলীকৰণ৷

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

সমীকৰণৰ দুয়োটা দিশৰ পৰা \frac{475}{17} বিয়োগ কৰক৷

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