-3x(c-x)=6e(2x-c) eching

$$- 3 x ( c - x ) = 6 e ( 2 x - c )$$

c uchun yechish

$$c=-\frac{x\left(x-4e\right)}{2e-x}$$

$$x\neq 2e$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-3x ga c-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-3xc+3x^{2}=6e\left(2x-c\right)$$

6e ga 2x-c ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-3xc+3x^{2}=12ex-6ec$$

6ec ni ikki tarafga qo’shing.

$$-3xc+3x^{2}+6ec=12ex$$

Ikkala tarafdan 3x^{2} ni ayirish.

$$-3xc+6ec=12ex-3x^{2}$$

c'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-3x+6e\right)c=12ex-3x^{2}$$

Tenglama standart shaklda.

$$\left(6e-3x\right)c=12ex-3x^{2}$$

Ikki tarafini -3x+6e ga bo‘ling.

$$\frac{\left(6e-3x\right)c}{6e-3x}=\frac{3x\left(4e-x\right)}{6e-3x}$$

-3x+6e ga bo'lish -3x+6e ga ko'paytirishni bekor qiladi.

$$c=\frac{3x\left(4e-x\right)}{6e-3x}$$

3x\left(4e-x\right) ni -3x+6e ga bo'lish.

$$c=\frac{x\left(4e-x\right)}{2e-x}$$

x uchun yechish

$$x=\frac{\sqrt{c^{2}+16e^{2}}+c+4e}{2}$$

$$x=\frac{-\sqrt{c^{2}+16e^{2}}+c+4e}{2}$$