132-6x=4x+2x^2

Solution for 132-6x=4x+2x^2 equation:

Simplifying
132 + -6x = 4x + 2x2

Solving
132 + -6x = 4x + 2x2

Solving for variable 'x'.

Combine like terms: -6x + -4x = -10x
132 + -10x + -2x2 = 4x + 2x2 + -4x + -2x2

Reorder the terms:
132 + -10x + -2x2 = 4x + -4x + 2x2 + -2x2

Combine like terms: 4x + -4x = 0
132 + -10x + -2x2 = 0 + 2x2 + -2x2
132 + -10x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
132 + -10x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(66 + -5x + -1x2) = 0

Factor a trinomial.
2((6 + -1x)(11 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 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 + x = 0 + -11

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

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

Simplifying
x = -11
Solution
x = {6, -11}