12h^2+2h-80=0

Solution for 12h^2+2h-80=0 equation:

Simplifying
12h2 + 2h + -80 = 0

Reorder the terms:
-80 + 2h + 12h2 = 0

Solving
-80 + 2h + 12h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-40 + h + 6h2) = 0

Factor a trinomial.
2((-8 + -3h)(5 + -2h)) = 0

Ignore the factor 2.
Subproblem 1
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
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 = {-2.666666667, 2.5}