x(x-1)-x(x-3)=12 eching

$$x(x-1)-x(x-3)=12$$

x uchun yechish

$$x=6$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$x^{2}-x-x\left(x-3\right)=12$$

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

$$x^{2}-x-\left(x^{2}-3x\right)=12$$

x^{2}-3x teskarisini topish uchun har birining teskarisini toping.

$$x^{2}-x-x^{2}-\left(-3x\right)=12$$

-3x ning teskarisi 3x ga teng.

$$x^{2}-x-x^{2}+3x=12$$

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

$$-x+3x=12$$

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

$$2x=12$$

Ikki tarafini 2 ga bo‘ling.

$$x=\frac{12}{2}$$

6 ni olish uchun 12 ni 2 ga bo‘ling.

$$x=6$$