2-xleft(3x-2left(x-2right)right)=1-left(x+1right)left(x-2right) eching

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

x uchun yechish

$$x=-\frac{1}{5}=-0,2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$2-x\left(3x-2x+4\right)=1-\left(x+1\right)\left(x-2\right)$$

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

$$2-x\left(x+4\right)=1-\left(x+1\right)\left(x-2\right)$$

x ga x+4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2-\left(x^{2}+4x\right)=1-\left(x+1\right)\left(x-2\right)$$

x^{2}+4x teskarisini topish uchun har birining teskarisini toping.

$$2-x^{2}-4x=1-\left(x+1\right)\left(x-2\right)$$

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

$$2-x^{2}-4x=1-\left(x^{2}-x-2\right)$$

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

$$2-x^{2}-4x=1-x^{2}+x+2$$

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

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

x^{2} ni ikki tarafga qo’shing.

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

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

$$2-4x=3+x$$

Ikkala tarafdan x ni ayirish.

$$2-4x-x=3$$

-5x ni olish uchun -4x va -x ni birlashtirish.

$$2-5x=3$$

Ikkala tarafdan 2 ni ayirish.

$$-5x=3-2$$

1 olish uchun 3 dan 2 ni ayirish.

$$-5x=1$$

Ikki tarafini -5 ga bo‘ling.

$$x=\frac{1}{-5}$$

\frac{1}{-5} kasri manfiy belgini olib tashlash bilan -\frac{1}{5} sifatida qayta yozilishi mumkin.

$$x=-\frac{1}{5}$$