Решите уравнение (x−2)(x−4)(x−6)=(x−2)(x−3)(x−6).

Question

Решите уравнение (x−2)(x−4)(x−6)=(x−2)(x−3)(x−6).

Answer 1

(x -  2) (x - 6) (x - 4) - (x - 2) (x - 6) (x - 3) = 0 
(x - 2)(x - 6) * (x - 4 - (x - 3)) = 0 
(x - 2) (x - 6) * ( x - 4 - x + 3 ) = 0 
(x - 2) (x - 6) * (-  1) = 0  //: (-1)
(x -  2 ) (x - 6) = 0 
x₁ = 2 
x₂ = 6