(8x-2)(3x+4)=(4x+3)(6x-1) eching

$$( 8 x - 2 ) ( 3 x + 4 ) = ( 4 x + 3 ) ( 6 x - 1 )$$

x uchun yechish

$$x=\frac{5}{12}\approx 0,416666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

8x-2 ga 3x+4 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$24x^{2}+26x-8=\left(4x+3\right)\left(6x-1\right)$$

4x+3 ga 6x-1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$24x^{2}+26x-8=24x^{2}+14x-3$$

Ikkala tarafdan 24x^{2} ni ayirish.

$$24x^{2}+26x-8-24x^{2}=14x-3$$

0 ni olish uchun 24x^{2} va -24x^{2} ni birlashtirish.

$$26x-8=14x-3$$

Ikkala tarafdan 14x ni ayirish.

$$26x-8-14x=-3$$

12x ni olish uchun 26x va -14x ni birlashtirish.

$$12x-8=-3$$

8 ni ikki tarafga qo’shing.

$$12x=-3+8$$

5 olish uchun -3 va 8'ni qo'shing.

$$12x=5$$

Ikki tarafini 12 ga bo‘ling.

$$x=\frac{5}{12}$$