9x+6(-3/2x-9/2)=-27 eching

$$9 x + 6 ( - 3 / 2 x - 9 / 2 ) = - 27$$

x uchun yechish (complex solution)

$$x\in \mathrm{C}$$

Yechim qadamlari

6 ga -\frac{3}{2}x-\frac{9}{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9x+6\left(-\frac{3}{2}\right)x+6\left(-\frac{9}{2}\right)=-27$$

6\left(-\frac{3}{2}\right) ni yagona kasrga aylantiring.

$$9x+\frac{6\left(-3\right)}{2}x+6\left(-\frac{9}{2}\right)=-27$$

-18 hosil qilish uchun 6 va -3 ni ko'paytirish.

$$9x+\frac{-18}{2}x+6\left(-\frac{9}{2}\right)=-27$$

-9 ni olish uchun -18 ni 2 ga bo‘ling.

$$9x-9x+6\left(-\frac{9}{2}\right)=-27$$

6\left(-\frac{9}{2}\right) ni yagona kasrga aylantiring.

$$9x-9x+\frac{6\left(-9\right)}{2}=-27$$

-54 hosil qilish uchun 6 va -9 ni ko'paytirish.

$$9x-9x+\frac{-54}{2}=-27$$

-27 ni olish uchun -54 ni 2 ga bo‘ling.

$$9x-9x-27=-27$$

0 ni olish uchun 9x va -9x ni birlashtirish.

$$-27=-27$$

-27 va -27 ni taqqoslang.

$$\text{true}$$

Bu har qanday x uchun to‘g‘ri.

$$x\in \mathrm{C}$$

x uchun yechish

$$x\in \mathrm{R}$$

Yechim qadamlari

6 ga -\frac{3}{2}x-\frac{9}{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9x+6\left(-\frac{3}{2}\right)x+6\left(-\frac{9}{2}\right)=-27$$

6\left(-\frac{3}{2}\right) ni yagona kasrga aylantiring.

$$9x+\frac{6\left(-3\right)}{2}x+6\left(-\frac{9}{2}\right)=-27$$

-18 hosil qilish uchun 6 va -3 ni ko'paytirish.

$$9x+\frac{-18}{2}x+6\left(-\frac{9}{2}\right)=-27$$

-9 ni olish uchun -18 ni 2 ga bo‘ling.

$$9x-9x+6\left(-\frac{9}{2}\right)=-27$$

6\left(-\frac{9}{2}\right) ni yagona kasrga aylantiring.

$$9x-9x+\frac{6\left(-9\right)}{2}=-27$$

-54 hosil qilish uchun 6 va -9 ni ko'paytirish.

$$9x-9x+\frac{-54}{2}=-27$$

-27 ni olish uchun -54 ni 2 ga bo‘ling.

$$9x-9x-27=-27$$

0 ni olish uchun 9x va -9x ni birlashtirish.

$$-27=-27$$

-27 va -27 ni taqqoslang.

$$\text{true}$$

Bu har qanday x uchun to‘g‘ri.

$$x\in \mathrm{R}$$