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((-2 + -1h)(1 + -2h)) = 0

Ignore the factor 12.
Subproblem 1
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
Subproblem 2
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
Solution
h = {-2, 0.5}