24h^2-36h=24

Solution for 24h^2-36h=24 equation:

Simplifying
24h2 + -36h = 24

Reorder the terms:
-36h + 24h2 = 24

Solving
-36h + 24h2 = 24

Solving for variable 'h'.

Reorder the terms:
-24 + -36h + 24h2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + -36h + 24h2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-2 + -3h + 2h2) = 0

Factor a trinomial.
12((-1 + -2h)(2 + -1h)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(-1 + -2h)' equal to zero and attempt to solve:

Simplifying
-1 + -2h = 0

Solving
-1 + -2h = 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 + -2h = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2h = 0 + 1
-2h = 0 + 1

Combine like terms: 0 + 1 = 1
-2h = 1

Divide each side by '-2'.
h = -0.5

Simplifying
h = -0.5
Subproblem 2
Set the factor '(2 + -1h)' equal to zero and attempt to solve:

Simplifying
2 + -1h = 0

Solving
2 + -1h = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1h = 0 + -2
-1h = 0 + -2

Combine like terms: 0 + -2 = -2
-1h = -2

Divide each side by '-1'.
h = 2

Simplifying
h = 2
Solution
h = {-0.5, 2}