(2x-4)(3-6x)=(3x-5)(1-4x) eching

$$(2x-4)(3-6x)=(3x-5)(1-4x)$$

x uchun yechish

$$x=1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2x-4 ga 3-6x ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$30x-12x^{2}-12=\left(3x-5\right)\left(1-4x\right)$$

3x-5 ga 1-4x ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$30x-12x^{2}-12=23x-12x^{2}-5$$

Ikkala tarafdan 23x ni ayirish.

$$30x-12x^{2}-12-23x=-12x^{2}-5$$

7x ni olish uchun 30x va -23x ni birlashtirish.

$$7x-12x^{2}-12=-12x^{2}-5$$

12x^{2} ni ikki tarafga qo’shing.

$$7x-12x^{2}-12+12x^{2}=-5$$

0 ni olish uchun -12x^{2} va 12x^{2} ni birlashtirish.

$$7x-12=-5$$

12 ni ikki tarafga qo’shing.

$$7x=-5+12$$

7 olish uchun -5 va 12'ni qo'shing.

$$7x=7$$

Ikki tarafini 7 ga bo‘ling.

$$x=\frac{7}{7}$$

1 ni olish uchun 7 ni 7 ga bo‘ling.

$$x=1$$