1-4x/2x+2+2=3/4x+5 eching

$$\frac{ 1-4x }{ 2x+2 } +2= \frac{ 3 }{ 4x+5 }$$

x uchun yechish

$$x = -\frac{19}{14} = -1\frac{5}{14} \approx -1,357142857$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -\frac{5}{4},-1 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2\left(x+1\right)\left(4x+5\right) ga, 2x+2,4x+5 ning eng kichik karralisiga ko‘paytiring.

$$\left(4x+5\right)\left(1-4x\right)+2\left(x+1\right)\left(4x+5\right)\times 2=\left(2x+2\right)\times 3$$

4x+5 ga 1-4x ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$-16x-16x^{2}+5+2\left(x+1\right)\left(4x+5\right)\times 2=\left(2x+2\right)\times 3$$

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

$$-16x-16x^{2}+5+4\left(x+1\right)\left(4x+5\right)=\left(2x+2\right)\times 3$$

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

$$-16x-16x^{2}+5+\left(4x+4\right)\left(4x+5\right)=\left(2x+2\right)\times 3$$

4x+4 ga 4x+5 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$-16x-16x^{2}+5+16x^{2}+36x+20=\left(2x+2\right)\times 3$$

0 ni olish uchun -16x^{2} va 16x^{2} ni birlashtirish.

$$-16x+5+36x+20=\left(2x+2\right)\times 3$$

20x ni olish uchun -16x va 36x ni birlashtirish.

$$20x+5+20=\left(2x+2\right)\times 3$$

25 olish uchun 5 va 20'ni qo'shing.

$$20x+25=\left(2x+2\right)\times 3$$

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

$$20x+25=6x+6$$

Ikkala tarafdan 6x ni ayirish.

$$20x+25-6x=6$$

14x ni olish uchun 20x va -6x ni birlashtirish.

$$14x+25=6$$

Ikkala tarafdan 25 ni ayirish.

$$14x=6-25$$

-19 olish uchun 6 dan 25 ni ayirish.

$$14x=-19$$

Ikki tarafini 14 ga bo‘ling.

$$x=\frac{-19}{14}$$

\frac{-19}{14} kasri manfiy belgini olib tashlash bilan -\frac{19}{14} sifatida qayta yozilishi mumkin.

$$x=-\frac{19}{14}$$