0=2x^2+12x-144

Solution for 0=2x^2+12x-144 equation:

Simplifying
0 = 2x2 + 12x + -144

Reorder the terms:
0 = -144 + 12x + 2x2

Solving
0 = -144 + 12x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 144 = 144
144 + -12x + -2x2 = -144 + 12x + 2x2 + 144 + -12x + -2x2

Reorder the terms:
144 + -12x + -2x2 = -144 + 144 + 12x + -12x + 2x2 + -2x2

Combine like terms: -144 + 144 = 0
144 + -12x + -2x2 = 0 + 12x + -12x + 2x2 + -2x2
144 + -12x + -2x2 = 12x + -12x + 2x2 + -2x2

Combine like terms: 12x + -12x = 0
144 + -12x + -2x2 = 0 + 2x2 + -2x2
144 + -12x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
144 + -12x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(72 + -6x + -1x2) = 0

Factor a trinomial.
2((6 + -1x)(12 + 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 '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
Solution
x = {6, -12}