-2x^2-8x-14=-6

Solution for -2x^2-8x-14=-6 equation:

Simplifying
-2x2 + -8x + -14 = -6

Reorder the terms:
-14 + -8x + -2x2 = -6

Solving
-14 + -8x + -2x2 = -6

Solving for variable 'x'.

Reorder the terms:
-14 + 6 + -8x + -2x2 = -6 + 6

Combine like terms: -14 + 6 = -8
-8 + -8x + -2x2 = -6 + 6

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

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

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

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

Simplifying
2 + x = 0

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

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

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

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

Simplifying
2 + x = 0

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

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

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

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