0=(12x^2)-12x-144

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

Simplifying
0 = (12x2) + -12x + -144

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

Solving
0 = -144 + -12x + (12x2)

Solving for variable 'x'.

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

Reorder the terms:
144 + 12x + (-12x2) = -144 + 144 + -12x + 12x + (12x2) + (-12x2)

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

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

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

Factor out the Greatest Common Factor (GCF), '12'.
12(12 + x + (-1x2)) = 0

Factor a trinomial.
12((4 + -1x)(3 + x)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {4, -3}