Question

Решите уравнение (x-2)(x-3)(x-4)=(x-2)(x-3)(x-5)

Answer 1

1) x-2=0
$x_{1} =2$
2)x-3=0
$x_{2} =3$

Answer 2

(x-2)(x-3)(x-4)=(x-2)(x-3)(x-5)
(x-2)(x-3)(x-4)-(x-2)(x-3)(x-5)=0
(x-2)(x-3)(x-4-(x-5))=0
(x-2)(x-3)(x-4-x+5)=0
(x-2)(x-3)=0
x-2=0          x-3=0
x=2             x=3