24h^2-54h-15=

Solution for 24h^2-54h-15= equation:

Simplifying
24h2 + -54h + -15 = 0

Reorder the terms:
-15 + -54h + 24h2 = 0

Solving
-15 + -54h + 24h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + -18h + 8h2) = 0

Factor a trinomial.
3((-1 + -4h)(5 + -2h)) = 0

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

Simplifying
-1 + -4h = 0

Solving
-1 + -4h = 0

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

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

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

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

Divide each side by '-4'.
h = -0.25

Simplifying
h = -0.25
Subproblem 2
Set the factor '(5 + -2h)' equal to zero and attempt to solve:

Simplifying
5 + -2h = 0

Solving
5 + -2h = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2h = 0 + -5
-2h = 0 + -5

Combine like terms: 0 + -5 = -5
-2h = -5

Divide each side by '-2'.
h = 2.5

Simplifying
h = 2.5
Solution
h = {-0.25, 2.5}