(5-2x)(x-3)-65x=(1-2x)(x-1)+125 eching

$$(5-2x)(x-3)-65x=(1-2x)(x-1)+125$$

x uchun yechish

$$x = -\frac{139}{57} = -2\frac{25}{57} \approx -2,438596491$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

5-2x ga x-3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$11x-15-2x^{2}-65x=\left(1-2x\right)\left(x-1\right)+125$$

-54x ni olish uchun 11x va -65x ni birlashtirish.

$$-54x-15-2x^{2}=\left(1-2x\right)\left(x-1\right)+125$$

1-2x ga x-1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$-54x-15-2x^{2}=3x-1-2x^{2}+125$$

124 olish uchun -1 va 125'ni qo'shing.

$$-54x-15-2x^{2}=3x+124-2x^{2}$$

Ikkala tarafdan 3x ni ayirish.

$$-54x-15-2x^{2}-3x=124-2x^{2}$$

-57x ni olish uchun -54x va -3x ni birlashtirish.

$$-57x-15-2x^{2}=124-2x^{2}$$

2x^{2} ni ikki tarafga qo’shing.

$$-57x-15-2x^{2}+2x^{2}=124$$

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

$$-57x-15=124$$

15 ni ikki tarafga qo’shing.

$$-57x=124+15$$

139 olish uchun 124 va 15'ni qo'shing.

$$-57x=139$$

Ikki tarafini -57 ga bo‘ling.

$$x=\frac{139}{-57}$$

\frac{139}{-57} kasri manfiy belgini olib tashlash bilan -\frac{139}{57} sifatida qayta yozilishi mumkin.

$$x=-\frac{139}{57}$$