x*(x+2)=x*(x+3) eching

$$x \times (x+2)=x \times (x+3)$$

x uchun yechish

$$x=0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$x^{2}+2x=x\left(x+3\right)$$

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

$$x^{2}+2x=x^{2}+3x$$

Ikkala tarafdan x^{2} ni ayirish.

$$x^{2}+2x-x^{2}=3x$$

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

$$2x=3x$$

Ikkala tarafdan 3x ni ayirish.

$$2x-3x=0$$

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

$$-x=0$$

Ikki son koʻpaytmasi 0 ga teng, agar kamida bittasi 0 bo‘lsa. -1 0 ga teng bo‘lmasa, x 0 ga teng bo‘lishi kerak.

$$x=0$$