2x^2+12x+18=128

Solution for 2x^2+12x+18=128 equation:

Simplifying
2x2 + 12x + 18 = 128

Reorder the terms:
18 + 12x + 2x2 = 128

Solving
18 + 12x + 2x2 = 128

Solving for variable 'x'.

Reorder the terms:
18 + -128 + 12x + 2x2 = 128 + -128

Combine like terms: 18 + -128 = -110
-110 + 12x + 2x2 = 128 + -128

Combine like terms: 128 + -128 = 0
-110 + 12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-55 + 6x + x2) = 0

Factor a trinomial.
2((-11 + -1x)(5 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-11, 5}