x^2=x+132

Solution for x^2=x+132 equation:

Simplifying
x2 = x + 132

Reorder the terms:
x2 = 132 + x

Solving
x2 = 132 + x

Solving for variable 'x'.

Reorder the terms:
-132 + -1x + x2 = 132 + x + -132 + -1x

Reorder the terms:
-132 + -1x + x2 = 132 + -132 + x + -1x

Combine like terms: 132 + -132 = 0
-132 + -1x + x2 = 0 + x + -1x
-132 + -1x + x2 = x + -1x

Combine like terms: x + -1x = 0
-132 + -1x + x2 = 0

Factor a trinomial.
(-11 + -1x)(12 + -1x) = 0

Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11
Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-11, 12}