2(x-3)+5x(x-1)=5x^2 eching

$$2 ( x - 3 ) + 5 x ( x - 1 ) = 5 x ^ { 2 }$$

x uchun yechish

$$x=-2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$2x-6+5x\left(x-1\right)=5x^{2}$$

5x ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x-6+5x^{2}-5x=5x^{2}$$

-3x ni olish uchun 2x va -5x ni birlashtirish.

$$-3x-6+5x^{2}=5x^{2}$$

Ikkala tarafdan 5x^{2} ni ayirish.

$$-3x-6+5x^{2}-5x^{2}=0$$

0 ni olish uchun 5x^{2} va -5x^{2} ni birlashtirish.

$$-3x-6=0$$

6 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$-3x=6$$

Ikki tarafini -3 ga bo‘ling.

$$x=\frac{6}{-3}$$

-2 ni olish uchun 6 ni -3 ga bo‘ling.

$$x=-2$$