(x+4)(3x-7)=(x-2)(3x+8) eching

$$( x + 4 ) ( 3 x - 7 ) = ( x - 2 ) ( 3 x + 8 )$$

x uchun yechish

$$x=4$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x+4 ga 3x-7 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$3x^{2}+5x-28=\left(x-2\right)\left(3x+8\right)$$

x-2 ga 3x+8 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$3x^{2}+5x-28=3x^{2}+2x-16$$

Ikkala tarafdan 3x^{2} ni ayirish.

$$3x^{2}+5x-28-3x^{2}=2x-16$$

0 ni olish uchun 3x^{2} va -3x^{2} ni birlashtirish.

$$5x-28=2x-16$$

Ikkala tarafdan 2x ni ayirish.

$$5x-28-2x=-16$$

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

$$3x-28=-16$$

28 ni ikki tarafga qo’shing.

$$3x=-16+28$$

12 olish uchun -16 va 28'ni qo'shing.

$$3x=12$$

Ikki tarafini 3 ga bo‘ling.

$$x=\frac{12}{3}$$

4 ni olish uchun 12 ni 3 ga bo‘ling.

$$x=4$$