2h^2-4h-96=0

Solution for 2h^2-4h-96=0 equation:

Simplifying
2h2 + -4h + -96 = 0

Reorder the terms:
-96 + -4h + 2h2 = 0

Solving
-96 + -4h + 2h2 = 0

Solving for variable 'h'.

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

Factor a trinomial.
2((-6 + -1h)(8 + -1h)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + -1h)' equal to zero and attempt to solve:

Simplifying
-6 + -1h = 0

Solving
-6 + -1h = 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 + -1h = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1h = 0 + 6
-1h = 0 + 6

Combine like terms: 0 + 6 = 6
-1h = 6

Divide each side by '-1'.
h = -6

Simplifying
h = -6
Subproblem 2
Set the factor '(8 + -1h)' equal to zero and attempt to solve:

Simplifying
8 + -1h = 0

Solving
8 + -1h = 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 + -1h = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1h = 0 + -8
-1h = 0 + -8

Combine like terms: 0 + -8 = -8
-1h = -8

Divide each side by '-1'.
h = 8

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