-36x/-36+x=36+(-72)x/(-72)+x eching

$$\frac { - 36 x } { - 36 + x } = 36 + \frac { ( - 72 ) x } { ( - 72 ) + x }$$

x uchun yechish

$$x=24$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 36,72 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(x-72\right)\left(x-36\right) ga, -36+x,-72+x ning eng kichik karralisiga ko‘paytiring.

$$\left(x-72\right)\left(-36\right)x=\left(x-72\right)\left(x-36\right)\times 36+\left(x-36\right)\left(-72\right)x$$

x-72 ga -36 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(-36x+2592\right)x=\left(x-72\right)\left(x-36\right)\times 36+\left(x-36\right)\left(-72\right)x$$

-36x+2592 ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-36x^{2}+2592x=\left(x-72\right)\left(x-36\right)\times 36+\left(x-36\right)\left(-72\right)x$$

x-72 ga x-36 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$-36x^{2}+2592x=\left(x^{2}-108x+2592\right)\times 36+\left(x-36\right)\left(-72\right)x$$

x^{2}-108x+2592 ga 36 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-36x^{2}+2592x=36x^{2}-3888x+93312+\left(x-36\right)\left(-72\right)x$$

x-36 ga -72 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-36x^{2}+2592x=36x^{2}-3888x+93312+\left(-72x+2592\right)x$$

-72x+2592 ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-36x^{2}+2592x=36x^{2}-3888x+93312-72x^{2}+2592x$$

-36x^{2} ni olish uchun 36x^{2} va -72x^{2} ni birlashtirish.

$$-36x^{2}+2592x=-36x^{2}-3888x+93312+2592x$$

-1296x ni olish uchun -3888x va 2592x ni birlashtirish.

$$-36x^{2}+2592x=-36x^{2}-1296x+93312$$

36x^{2} ni ikki tarafga qo’shing.

$$-36x^{2}+2592x+36x^{2}=-1296x+93312$$

0 ni olish uchun -36x^{2} va 36x^{2} ni birlashtirish.

$$2592x=-1296x+93312$$

1296x ni ikki tarafga qo’shing.

$$2592x+1296x=93312$$

3888x ni olish uchun 2592x va 1296x ni birlashtirish.

$$3888x=93312$$

Ikki tarafini 3888 ga bo‘ling.

$$x=\frac{93312}{3888}$$

24 ni olish uchun 93312 ni 3888 ga bo‘ling.

$$x=24$$