12x^2-2x-2=2

Solution for 12x^2-2x-2=2 equation:

Simplifying
12x2 + -2x + -2 = 2

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

Solving
-2 + -2x + 12x2 = 2

Solving for variable 'x'.

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

Combine like terms: -2 + -2 = -4
-4 + -2x + 12x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-4 + -2x + 12x2 = 0

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

Factor a trinomial.
2((-1 + -2x)(2 + -3x)) = 0

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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-0.5, 0.6666666667}