3h^2-60=24h

Solution for 3h^2-60=24h equation:

Simplifying
3h2 + -60 = 24h

Reorder the terms:
-60 + 3h2 = 24h

Solving
-60 + 3h2 = 24h

Solving for variable 'h'.

Reorder the terms:
-60 + -24h + 3h2 = 24h + -24h

Combine like terms: 24h + -24h = 0
-60 + -24h + 3h2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-20 + -8h + h2) = 0

Factor a trinomial.
3((-2 + -1h)(10 + -1h)) = 0

Ignore the factor 3.
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 '(10 + -1h)' equal to zero and attempt to solve:

Simplifying
10 + -1h = 0

Solving
10 + -1h = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1h = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1h = 0 + -10
-1h = 0 + -10

Combine like terms: 0 + -10 = -10
-1h = -10

Divide each side by '-1'.
h = 10

Simplifying
h = 10
Solution
h = {-2, 10}