(x-2)(x+3)-[(x+5)(x-7)]=2 eching

$$( x - 2 ) ( x + 3 ) - [ ( x + 5 ) ( x - 7 ) ] = 2$$

x uchun yechish

$$x=-9$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x-2 ga x+3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$x^{2}+x-6-\left(x+5\right)\left(x-7\right)=2$$

x+5 ga x-7 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$x^{2}+x-6-\left(x^{2}-2x-35\right)=2$$

x^{2}-2x-35 teskarisini topish uchun har birining teskarisini toping.

$$x^{2}+x-6-x^{2}+2x+35=2$$

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

$$x-6+2x+35=2$$

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

$$3x-6+35=2$$

29 olish uchun -6 va 35'ni qo'shing.

$$3x+29=2$$

Ikkala tarafdan 29 ni ayirish.

$$3x=2-29$$

-27 olish uchun 2 dan 29 ni ayirish.

$$3x=-27$$

Ikki tarafini 3 ga bo‘ling.

$$x=\frac{-27}{3}$$

-9 ni olish uchun -27 ni 3 ga bo‘ling.

$$x=-9$$