-8x^2-8x-6=-4

Solution for -8x^2-8x-6=-4 equation:

Simplifying
-8x2 + -8x + -6 = -4

Reorder the terms:
-6 + -8x + -8x2 = -4

Solving
-6 + -8x + -8x2 = -4

Solving for variable 'x'.

Reorder the terms:
-6 + 4 + -8x + -8x2 = -4 + 4

Combine like terms: -6 + 4 = -2
-2 + -8x + -8x2 = -4 + 4

Combine like terms: -4 + 4 = 0
-2 + -8x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(1 + 4x + 4x2) = 0

Factor a trinomial.
-2((1 + 2x)(1 + 2x)) = 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 '(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
Solution
x = {-0.5, -0.5}