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

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

x uchun yechish

$$x=-3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Hisoblang: \left(2x-3\right)\left(2x+3\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 3 kvadratini chiqarish.

$$\left(2x\right)^{2}-9-4x\left(x+1\right)=2\left(x+3\right)+3$$

\left(2x\right)^{2} ni kengaytirish.

$$2^{2}x^{2}-9-4x\left(x+1\right)=2\left(x+3\right)+3$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$4x^{2}-9-4x\left(x+1\right)=2\left(x+3\right)+3$$

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

$$4x^{2}-9-4x\left(x+1\right)=2x+6+3$$

9 olish uchun 6 va 3'ni qo'shing.

$$4x^{2}-9-4x\left(x+1\right)=2x+9$$

Ikkala tarafdan 2x ni ayirish.

$$4x^{2}-9-4x\left(x+1\right)-2x=9$$

-4x ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x^{2}-9-4x^{2}-4x-2x=9$$

0 ni olish uchun 4x^{2} va -4x^{2} ni birlashtirish.

$$-9-4x-2x=9$$

-6x ni olish uchun -4x va -2x ni birlashtirish.

$$-9-6x=9$$

9 ni ikki tarafga qo’shing.

$$-6x=9+9$$

18 olish uchun 9 va 9'ni qo'shing.

$$-6x=18$$

Ikki tarafini -6 ga bo‘ling.

$$x=\frac{18}{-6}$$

-3 ni olish uchun 18 ni -6 ga bo‘ling.

$$x=-3$$