(x - 2) ( 25 - x^2) = -50
25x - 50 - x^3 + 2x^2 = -50 add 50 to both sides
-x^3 + 2x^2 + 25x = 0 multiply through by -1
x^3 - 2x^2 - 25x = 0 factor
x ( x^2 - 2x - 25) = 0
x = 0 and x^2 - 2x - 25 = 0
complete the square on x
x^2 - 2x + 1 = 25 + 1
(x - 1)^2 = 26 take both roots
x - 1 = sqrt 26 x - 1 = - sqrt 26
x = 1 + sqrt 26 x = 1 - sqrt 26