264=2x^2+32x

Solution for 264=2x^2+32x equation:

Simplifying
264 = 2x2 + 32x

Reorder the terms:
264 = 32x + 2x2

Solving
264 = 32x + 2x2

Solving for variable 'x'.

Reorder the terms:
264 + -32x + -2x2 = 32x + -32x + 2x2 + -2x2

Combine like terms: 32x + -32x = 0
264 + -32x + -2x2 = 0 + 2x2 + -2x2
264 + -32x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
264 + -32x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(132 + -16x + -1x2) = 0

Factor a trinomial.
2((6 + -1x)(22 + 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 '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 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 + x = 0 + -22

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

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

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