Question

Решите уравнение:
(2x - 3) (5x + 2) - x (3 - 2x) = 0

Answer 1

$(2x-3)(5x+2)-x(3-2x)=0\(2x-3)(5x+2)+x(2x-3)=0\(2x-3)(5x+2+x)=0\(2x-3)(6x+2)=0\(2x-3)(3x+1)=0\2x_1-3=0, qquad x_1=dfrac{3}{2}\3x_2+1=0, qquad x_2=-dfrac{1}{3}$