0=12x^2-96x+144

Solution for 0=12x^2-96x+144 equation:

Simplifying
0 = 12x2 + -96x + 144

Reorder the terms:
0 = 144 + -96x + 12x2

Solving
0 = 144 + -96x + 12x2

Solving for variable 'x'.

Combine like terms: 0 + -144 = -144
-144 + 96x + -12x2 = 144 + -96x + 12x2 + -144 + 96x + -12x2

Reorder the terms:
-144 + 96x + -12x2 = 144 + -144 + -96x + 96x + 12x2 + -12x2

Combine like terms: 144 + -144 = 0
-144 + 96x + -12x2 = 0 + -96x + 96x + 12x2 + -12x2
-144 + 96x + -12x2 = -96x + 96x + 12x2 + -12x2

Combine like terms: -96x + 96x = 0
-144 + 96x + -12x2 = 0 + 12x2 + -12x2
-144 + 96x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-144 + 96x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-12 + 8x + -1x2) = 0

Factor a trinomial.
12((-6 + x)(2 + -1x)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 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 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {6, 2}