x^2-3(x+1)-2[x(x+1)]=-x(x+1) eching

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

x uchun yechish

$$x=-\frac{3}{4}=-0,75$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-3 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

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

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

Ikkala tarafdan \left(-x\right)x ni ayirish.

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

x ni ikki tarafga qo’shing.

$$x^{2}-3x-3-2x\left(x+1\right)-\left(-x\right)x+x=0$$

-2 hosil qilish uchun -1 va 2 ni ko'paytirish.

$$x^{2}-3x-3-2x\left(x+1\right)-\left(-xx\right)+x=0$$

-2x ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x^{2}-3x-3-2x^{2}-2x-\left(-xx\right)+x=0$$

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

$$-x^{2}-3x-3-2x-\left(-xx\right)+x=0$$

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

$$-x^{2}-5x-3-\left(-xx\right)+x=0$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$-x^{2}-5x-3-\left(-x^{2}\right)+x=0$$

1 hosil qilish uchun -1 va -1 ni ko'paytirish.

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

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

$$-5x-3+x=0$$

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

$$-4x-3=0$$

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

$$-4x=3$$

Ikki tarafini -4 ga bo‘ling.

$$x=\frac{3}{-4}$$

\frac{3}{-4} kasri manfiy belgini olib tashlash bilan -\frac{3}{4} sifatida qayta yozilishi mumkin.

$$x=-\frac{3}{4}$$