2x+1+(x-2)(2x-1)=2x(x-2) eching

$$2x+1+(x-2)(2x-1)=2x(x-2)$$

x uchun yechish

$$x=-3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x-2 ga 2x-1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

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

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

$$-3x+1+2x^{2}+2=2x\left(x-2\right)$$

3 olish uchun 1 va 2'ni qo'shing.

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

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

$$-3x+3+2x^{2}=2x^{2}-4x$$

Ikkala tarafdan 2x^{2} ni ayirish.

$$-3x+3+2x^{2}-2x^{2}=-4x$$

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

$$-3x+3=-4x$$

4x ni ikki tarafga qo’shing.

$$-3x+3+4x=0$$

x ni olish uchun -3x va 4x ni birlashtirish.

$$x+3=0$$

Ikkala tarafdan 3 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$x=-3$$