0=-2x^2-28x-96

Solution for 0=-2x^2-28x-96 equation:

Simplifying
0 = -2x2 + -28x + -96

Reorder the terms:
0 = -96 + -28x + -2x2

Solving
0 = -96 + -28x + -2x2

Solving for variable 'x'.

Combine like terms: 0 + 96 = 96
96 + 28x + 2x2 = -96 + -28x + -2x2 + 96 + 28x + 2x2

Reorder the terms:
96 + 28x + 2x2 = -96 + 96 + -28x + 28x + -2x2 + 2x2

Combine like terms: -96 + 96 = 0
96 + 28x + 2x2 = 0 + -28x + 28x + -2x2 + 2x2
96 + 28x + 2x2 = -28x + 28x + -2x2 + 2x2

Combine like terms: -28x + 28x = 0
96 + 28x + 2x2 = 0 + -2x2 + 2x2
96 + 28x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
96 + 28x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(48 + 14x + x2) = 0

Factor a trinomial.
2((8 + x)(6 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-8, -6}