Question

решите уравнения
(х-2)(х+3)+(х-2)(2х+1)=(2-х)

Answer 1

$(x - 2)(x + 3) + (x - 2)(2x + 1) = 2 - x \\ (x - 2)(x + 3) + (x - 2)(2x + 1) - (2 - x) = 0 \\ (x - 2)(x + 3) + (x - 2)(2x + 1) + x - 2 = 0 \\ (x - 2)(x + 3 + 2x + 1 + 1) = 0 \\ (x - 2)(3x + 5) = 0 \\ x - 2 = 0. \: \: \: x = 2 \\ 3x + 5 = 0. \: \: \: x = - \frac{5}{3}$
Ответ: -5/3; 2.