Issolvi 180(120-3/5x)x+60(12000-(120-3/5x)x)

$$180(120- \frac{ 3 }{ 5 } x)x+60(12000-(120- \frac{ 3 }{ 5 } x)x)$$

Evalwa

$$72\left(x\left(200-x\right)+10000\right)$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 180 b'120-\frac{3}{5}x.

$$\left(21600+180\left(-\frac{3}{5}\right)x\right)x+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Esprimi 180\left(-\frac{3}{5}\right) bħala frazzjoni waħda.

$$\left(21600+\frac{180\left(-3\right)}{5}x\right)x+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Immultiplika 180 u -3 biex tikseb -540.

$$\left(21600+\frac{-540}{5}x\right)x+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Iddividi -540 b'5 biex tikseb-108.

$$\left(21600-108x\right)x+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Uża l-propjetà distributtiva biex timmultiplika 21600-108x b'x.

$$21600x-108x^{2}+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Uża l-propjetà distributtiva biex timmultiplika 120-\frac{3}{5}x b'x.

$$21600x-108x^{2}+60\left(12000-\left(120x-\frac{3}{5}xx\right)\right)$$

Immultiplika x u x biex tikseb x^{2}.

$$21600x-108x^{2}+60\left(12000-\left(120x-\frac{3}{5}x^{2}\right)\right)$$

Biex issib l-oppost ta' 120x-\frac{3}{5}x^{2}, sib l-oppost ta' kull terminu.

$$21600x-108x^{2}+60\left(12000-120x-\left(-\frac{3}{5}x^{2}\right)\right)$$

L-oppost ta' -\frac{3}{5}x^{2} huwa \frac{3}{5}x^{2}.

$$21600x-108x^{2}+60\left(12000-120x+\frac{3}{5}x^{2}\right)$$

Uża l-propjetà distributtiva biex timmultiplika 60 b'12000-120x+\frac{3}{5}x^{2}.

$$21600x-108x^{2}[phone]x+60\times \frac{3}{5}x^{2}$$

Esprimi 60\times \frac{3}{5} bħala frazzjoni waħda.

$$21600x-108x^{2}[phone]x+\frac{60\times 3}{5}x^{2}$$

Immultiplika 60 u 3 biex tikseb 180.

$$21600x-108x^{2}[phone]x+\frac{180}{5}x^{2}$$

Iddividi 180 b'5 biex tikseb36.

$$21600x-108x^{2}[phone]x+36x^{2}$$

Ikkombina 21600x u -7200x biex tikseb 14400x.

$$14400x-108x^{2}+720000+36x^{2}$$

Ikkombina -108x^{2} u 36x^{2} biex tikseb -72x^{2}.

$$14400x-72x^{2}+720000$$

Espandi

$$720000+14400x-72x^{2}$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 180 b'120-\frac{3}{5}x.

$$\left(21600+180\left(-\frac{3}{5}\right)x\right)x+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Esprimi 180\left(-\frac{3}{5}\right) bħala frazzjoni waħda.

$$\left(21600+\frac{180\left(-3\right)}{5}x\right)x+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Immultiplika 180 u -3 biex tikseb -540.

$$\left(21600+\frac{-540}{5}x\right)x+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Iddividi -540 b'5 biex tikseb-108.

$$\left(21600-108x\right)x+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Uża l-propjetà distributtiva biex timmultiplika 21600-108x b'x.

$$21600x-108x^{2}+60\left(12000-\left(120-\frac{3}{5}x\right)x\right)$$

Uża l-propjetà distributtiva biex timmultiplika 120-\frac{3}{5}x b'x.

$$21600x-108x^{2}+60\left(12000-\left(120x-\frac{3}{5}xx\right)\right)$$

Immultiplika x u x biex tikseb x^{2}.

$$21600x-108x^{2}+60\left(12000-\left(120x-\frac{3}{5}x^{2}\right)\right)$$

Biex issib l-oppost ta' 120x-\frac{3}{5}x^{2}, sib l-oppost ta' kull terminu.

$$21600x-108x^{2}+60\left(12000-120x-\left(-\frac{3}{5}x^{2}\right)\right)$$

L-oppost ta' -\frac{3}{5}x^{2} huwa \frac{3}{5}x^{2}.

$$21600x-108x^{2}+60\left(12000-120x+\frac{3}{5}x^{2}\right)$$

Uża l-propjetà distributtiva biex timmultiplika 60 b'12000-120x+\frac{3}{5}x^{2}.

$$21600x-108x^{2}[phone]x+60\times \frac{3}{5}x^{2}$$

Esprimi 60\times \frac{3}{5} bħala frazzjoni waħda.

$$21600x-108x^{2}[phone]x+\frac{60\times 3}{5}x^{2}$$

Immultiplika 60 u 3 biex tikseb 180.

$$21600x-108x^{2}[phone]x+\frac{180}{5}x^{2}$$

Iddividi 180 b'5 biex tikseb36.

$$21600x-108x^{2}[phone]x+36x^{2}$$

Ikkombina 21600x u -7200x biex tikseb 14400x.

$$14400x-108x^{2}+720000+36x^{2}$$

Ikkombina -108x^{2} u 36x^{2} biex tikseb -72x^{2}.

$$14400x-72x^{2}+720000$$