02/20+2*x=0376/2*(108+x) eching

$$\frac{ 02 }{ 20+2 \times x } = \frac{ 0376 }{ 2 \times (108+x) }$$

x uchun yechish (complex solution)

$$x\in \mathrm{C}\setminus -10,-108$$

Yechim qadamlari

x qiymati -108,-10 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2\left(x+10\right)\left(x+108\right) ga, 20+2x,2\left(108+x\right) ning eng kichik karralisiga ko‘paytiring.

$$\left(x+108\right)\times 0\times 2=\left(x+10\right)\times 0\times 376$$

0 hosil qilish uchun 0 va 2 ni ko'paytirish.

$$\left(x+108\right)\times 0=\left(x+10\right)\times 0\times 376$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$0=\left(x+10\right)\times 0\times 376$$

0 hosil qilish uchun 0 va 376 ni ko'paytirish.

$$0=\left(x+10\right)\times 0$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$0=0$$

0 va 0 ni taqqoslang.

$$\text{true}$$

Bu har qanday x uchun to‘g‘ri.

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

x qiymati -108,-10 qiymatlaridan birortasiga teng bo‘lmaydi.

$$x\in \mathrm{C}\setminus -108,-10$$

x uchun yechish

$$x\in \mathrm{R}\setminus -10,-108$$

Yechim qadamlari

x qiymati -108,-10 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2\left(x+10\right)\left(x+108\right) ga, 20+2x,2\left(108+x\right) ning eng kichik karralisiga ko‘paytiring.

$$\left(x+108\right)\times 0\times 2=\left(x+10\right)\times 0\times 376$$

0 hosil qilish uchun 0 va 2 ni ko'paytirish.

$$\left(x+108\right)\times 0=\left(x+10\right)\times 0\times 376$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$0=\left(x+10\right)\times 0\times 376$$

0 hosil qilish uchun 0 va 376 ni ko'paytirish.

$$0=\left(x+10\right)\times 0$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$0=0$$

0 va 0 ni taqqoslang.

$$\text{true}$$

Bu har qanday x uchun to‘g‘ri.

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

x qiymati -108,-10 qiymatlaridan birortasiga teng bo‘lmaydi.

$$x\in \mathrm{R}\setminus -108,-10$$