Решите уравнение х(х^2 - 6х + 5) = 12(х - 5).

X( x^2 - 6x + 5) = 12( x - 5)
x( x - 5)(x - 1) - 12( x - 5) = 0
( x - 5)( x(x - 1) - 12) = 0
( x - 5)( x^2 - x - 12) = 0
x - 5 = 0
x = 5
x^2 - x - 12 = 0
D = b^2 - 4ac = 1 + 48 = 49 = 7^2
x1 = ( 1 + 7)/ 2 = 4
x2 = ( 1 - 7) / 2 = - 3

ответ: x1 = 4, x2 = - 3, x3 = 5.

Решение на фотографии)