3h^2-5h-12=0

Solution for 3h^2-5h-12=0 equation:

Simplifying
3h2 + -5h + -12 = 0

Reorder the terms:
-12 + -5h + 3h2 = 0

Solving
-12 + -5h + 3h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-4 + -3h)(3 + -1h) = 0

Subproblem 1
Set the factor '(-4 + -3h)' equal to zero and attempt to solve:

Simplifying
-4 + -3h = 0

Solving
-4 + -3h = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3h = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3h = 0 + 4
-3h = 0 + 4

Combine like terms: 0 + 4 = 4
-3h = 4

Divide each side by '-3'.
h = -1.333333333

Simplifying
h = -1.333333333
Subproblem 2
Set the factor '(3 + -1h)' equal to zero and attempt to solve:

Simplifying
3 + -1h = 0

Solving
3 + -1h = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1h = 0 + -3
-1h = 0 + -3

Combine like terms: 0 + -3 = -3
-1h = -3

Divide each side by '-1'.
h = 3

Simplifying
h = 3
Solution
h = {-1.333333333, 3}