(x-32)*x=5220

Solution for (x-32)*x=5220 equation:

Simplifying
(x + -32) * x = 5220

Reorder the terms:
(-32 + x) * x = 5220

Reorder the terms for easier multiplication:
x(-32 + x) = 5220
(-32 * x + x * x) = 5220
(-32x + x2) = 5220

Solving
-32x + x2 = 5220

Solving for variable 'x'.

Reorder the terms:
-5220 + -32x + x2 = 5220 + -5220

Combine like terms: 5220 + -5220 = 0
-5220 + -32x + x2 = 0

Factor a trinomial.
(-58 + -1x)(90 + -1x) = 0

Subproblem 1
Set the factor '(-58 + -1x)' equal to zero and attempt to solve:

Simplifying
-58 + -1x = 0

Solving
-58 + -1x = 0

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

Add '58' to each side of the equation.
-58 + 58 + -1x = 0 + 58

Combine like terms: -58 + 58 = 0
0 + -1x = 0 + 58
-1x = 0 + 58

Combine like terms: 0 + 58 = 58
-1x = 58

Divide each side by '-1'.
x = -58

Simplifying
x = -58
Subproblem 2
Set the factor '(90 + -1x)' equal to zero and attempt to solve:

Simplifying
90 + -1x = 0

Solving
90 + -1x = 0

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

Add '-90' to each side of the equation.
90 + -90 + -1x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -1x = 0 + -90
-1x = 0 + -90

Combine like terms: 0 + -90 = -90
-1x = -90

Divide each side by '-1'.
x = 90

Simplifying
x = 90
Solution
x = {-58, 90}