2h^2-2h-24=0

Solution for 2h^2-2h-24=0 equation:

Simplifying
2h2 + -2h + -24 = 0

Reorder the terms:
-24 + -2h + 2h2 = 0

Solving
-24 + -2h + 2h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -1h + h2) = 0

Factor a trinomial.
2((-3 + -1h)(4 + -1h)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -1h)' equal to zero and attempt to solve:

Simplifying
-3 + -1h = 0

Solving
-3 + -1h = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1h = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1h = 0 + 3
-1h = 0 + 3

Combine like terms: 0 + 3 = 3
-1h = 3

Divide each side by '-1'.
h = -3

Simplifying
h = -3
Subproblem 2
Set the factor '(4 + -1h)' equal to zero and attempt to solve:

Simplifying
4 + -1h = 0

Solving
4 + -1h = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1h = 0 + -4
-1h = 0 + -4

Combine like terms: 0 + -4 = -4
-1h = -4

Divide each side by '-1'.
h = 4

Simplifying
h = 4
Solution
h = {-3, 4}