-2h^2-28h-96=0

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

Simplifying
-2h2 + -28h + -96 = 0

Reorder the terms:
-96 + -28h + -2h2 = 0

Solving
-96 + -28h + -2h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(48 + 14h + h2) = 0

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

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

Simplifying
8 + h = 0

Solving
8 + h = 0

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

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

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

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

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

Simplifying
6 + h = 0

Solving
6 + h = 0

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

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

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

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

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