0=-2x^2-32x-126

Solution for 0=-2x^2-32x-126 equation:

Simplifying
0 = -2x2 + -32x + -126

Reorder the terms:
0 = -126 + -32x + -2x2

Solving
0 = -126 + -32x + -2x2

Solving for variable 'x'.

Combine like terms: 0 + 126 = 126
126 + 32x + 2x2 = -126 + -32x + -2x2 + 126 + 32x + 2x2

Reorder the terms:
126 + 32x + 2x2 = -126 + 126 + -32x + 32x + -2x2 + 2x2

Combine like terms: -126 + 126 = 0
126 + 32x + 2x2 = 0 + -32x + 32x + -2x2 + 2x2
126 + 32x + 2x2 = -32x + 32x + -2x2 + 2x2

Combine like terms: -32x + 32x = 0
126 + 32x + 2x2 = 0 + -2x2 + 2x2
126 + 32x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
126 + 32x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(63 + 16x + x2) = 0

Factor a trinomial.
2((9 + x)(7 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {-9, -7}