(x-32)*x=8025

Solution for (x-32)*x=8025 equation:

Simplifying
(x + -32) * x = 8025

Reorder the terms:
(-32 + x) * x = 8025

Reorder the terms for easier multiplication:
x(-32 + x) = 8025
(-32 * x + x * x) = 8025
(-32x + x2) = 8025

Solving
-32x + x2 = 8025

Solving for variable 'x'.

Reorder the terms:
-8025 + -32x + x2 = 8025 + -8025

Combine like terms: 8025 + -8025 = 0
-8025 + -32x + x2 = 0

Factor a trinomial.
(-75 + -1x)(107 + -1x) = 0

Subproblem 1
Set the factor '(-75 + -1x)' equal to zero and attempt to solve:

Simplifying
-75 + -1x = 0

Solving
-75 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '75' to each side of the equation.
-75 + 75 + -1x = 0 + 75

Combine like terms: -75 + 75 = 0
0 + -1x = 0 + 75
-1x = 0 + 75

Combine like terms: 0 + 75 = 75
-1x = 75

Divide each side by '-1'.
x = -75

Simplifying
x = -75
Subproblem 2
Set the factor '(107 + -1x)' equal to zero and attempt to solve:

Simplifying
107 + -1x = 0

Solving
107 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-107' to each side of the equation.
107 + -107 + -1x = 0 + -107

Combine like terms: 107 + -107 = 0
0 + -1x = 0 + -107
-1x = 0 + -107

Combine like terms: 0 + -107 = -107
-1x = -107

Divide each side by '-1'.
x = 107

Simplifying
x = 107
Solution
x = {-75, 107}