Math Olympiad || A nice algebraic equation simplification ||

[@jonathanburros6762]

(x-1)(x-2)(x-8)(x+5)+360 = 0
(x^2 -3 x +2)(x^2 -3 x -40) + 360 = 0
(x^2 -3x)^2 -38(x^2 -3 x)+280 = 0
(x^2 -3 x -10)(x^2 -3 x -28) = 0
(x +2)(x -5)(x +4)(x -7) = 0
(x + 4)(x + 2)(x -5)(x -7) = 0
x = -4
Or x = -2
Or
x = 5
Or
x = 7