532=2x^2+18x+308

Solution for 532=2x^2+18x+308 equation:

Simplifying
532 = 2x2 + 18x + 308

Reorder the terms:
532 = 308 + 18x + 2x2

Solving
532 = 308 + 18x + 2x2

Solving for variable 'x'.

Combine like terms: 532 + -308 = 224
224 + -18x + -2x2 = 308 + 18x + 2x2 + -308 + -18x + -2x2

Reorder the terms:
224 + -18x + -2x2 = 308 + -308 + 18x + -18x + 2x2 + -2x2

Combine like terms: 308 + -308 = 0
224 + -18x + -2x2 = 0 + 18x + -18x + 2x2 + -2x2
224 + -18x + -2x2 = 18x + -18x + 2x2 + -2x2

Combine like terms: 18x + -18x = 0
224 + -18x + -2x2 = 0 + 2x2 + -2x2
224 + -18x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
224 + -18x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(112 + -9x + -1x2) = 0

Factor a trinomial.
2((7 + -1x)(16 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Subproblem 2
Set the factor '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 0

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

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Simplifying
x = -16
Solution
x = {7, -16}