6x^2+2x-6=2

Solution for 6x^2+2x-6=2 equation:

Simplifying
6x2 + 2x + -6 = 2

Reorder the terms:
-6 + 2x + 6x2 = 2

Solving
-6 + 2x + 6x2 = 2

Solving for variable 'x'.

Reorder the terms:
-6 + -2 + 2x + 6x2 = 2 + -2

Combine like terms: -6 + -2 = -8
-8 + 2x + 6x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-8 + 2x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + x + 3x2) = 0

Factor a trinomial.
2((-4 + -3x)(1 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 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 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {-1.333333333, 1}