2x^2=132+10x

Solution for 2x^2=132+10x equation:

Simplifying
2x2 = 132 + 10x

Solving
2x2 = 132 + 10x

Solving for variable 'x'.

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

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

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

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

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

Factor a trinomial.
2((-6 + -1x)(11 + -1x)) = 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 + -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
Solution
x = {-6, 11}