24h^2-40h-64=0

Solution for 24h^2-40h-64=0 equation:

Simplifying
24h2 + -40h + -64 = 0

Reorder the terms:
-64 + -40h + 24h2 = 0

Solving
-64 + -40h + 24h2 = 0

Solving for variable 'h'.

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

Factor a trinomial.
8((-1 + -1h)(8 + -3h)) = 0

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

Simplifying
-1 + -1h = 0

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

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

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

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

Simplifying
h = -1
Subproblem 2
Set the factor '(8 + -3h)' equal to zero and attempt to solve:

Simplifying
8 + -3h = 0

Solving
8 + -3h = 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 + -3h = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3h = 0 + -8
-3h = 0 + -8

Combine like terms: 0 + -8 = -8
-3h = -8

Divide each side by '-3'.
h = 2.666666667

Simplifying
h = 2.666666667
Solution
h = {-1, 2.666666667}