=x^2-16x-132

Solution for =x^2-16x-132 equation:

Simplifying
0 = x2 + -16x + -132

Reorder the terms:
0 = -132 + -16x + x2

Solving
0 = -132 + -16x + x2

Solving for variable 'x'.

Combine like terms: 0 + 132 = 132
132 + 16x + -1x2 = -132 + -16x + x2 + 132 + 16x + -1x2

Reorder the terms:
132 + 16x + -1x2 = -132 + 132 + -16x + 16x + x2 + -1x2

Combine like terms: -132 + 132 = 0
132 + 16x + -1x2 = 0 + -16x + 16x + x2 + -1x2
132 + 16x + -1x2 = -16x + 16x + x2 + -1x2

Combine like terms: -16x + 16x = 0
132 + 16x + -1x2 = 0 + x2 + -1x2
132 + 16x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
132 + 16x + -1x2 = 0

Factor a trinomial.
(22 + -1x)(6 + x) = 0

Subproblem 1
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {22, -6}