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

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

Baholash

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

Yechim qadamlari

180 ga 120-\frac{3}{5}x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

180\left(-\frac{3}{5}\right) ni yagona kasrga aylantiring.

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

-540 hosil qilish uchun 180 va -3 ni ko'paytirish.

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

-108 ni olish uchun -540 ni 5 ga bo‘ling.

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

21600-108x ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

120-\frac{3}{5}x ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

x^{2} hosil qilish uchun x va x ni ko'paytirish.

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

120x-\frac{3}{5}x^{2} teskarisini topish uchun har birining teskarisini toping.

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

-\frac{3}{5}x^{2} ning teskarisi \frac{3}{5}x^{2} ga teng.

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

60 ga 12000-120x+\frac{3}{5}x^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

60\times \frac{3}{5} ni yagona kasrga aylantiring.

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

180 hosil qilish uchun 60 va 3 ni ko'paytirish.

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

36 ni olish uchun 180 ni 5 ga bo‘ling.

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

14400x ni olish uchun 21600x va -7200x ni birlashtirish.

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

-72x^{2} ni olish uchun -108x^{2} va 36x^{2} ni birlashtirish.

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

Kengaytirish

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

Yechim qadamlari

180 ga 120-\frac{3}{5}x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

180\left(-\frac{3}{5}\right) ni yagona kasrga aylantiring.

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

-540 hosil qilish uchun 180 va -3 ni ko'paytirish.

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

-108 ni olish uchun -540 ni 5 ga bo‘ling.

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

21600-108x ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

120-\frac{3}{5}x ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

x^{2} hosil qilish uchun x va x ni ko'paytirish.

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

120x-\frac{3}{5}x^{2} teskarisini topish uchun har birining teskarisini toping.

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

-\frac{3}{5}x^{2} ning teskarisi \frac{3}{5}x^{2} ga teng.

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

60 ga 12000-120x+\frac{3}{5}x^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

60\times \frac{3}{5} ni yagona kasrga aylantiring.

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

180 hosil qilish uchun 60 va 3 ni ko'paytirish.

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

36 ni olish uchun 180 ni 5 ga bo‘ling.

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

14400x ni olish uchun 21600x va -7200x ni birlashtirish.

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

-72x^{2} ni olish uchun -108x^{2} va 36x^{2} ni birlashtirish.

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