3h^2+2h-56=0

Solution for 3h^2+2h-56=0 equation:

Simplifying
3h2 + 2h + -56 = 0

Reorder the terms:
-56 + 2h + 3h2 = 0

Solving
-56 + 2h + 3h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-14 + -3h)(4 + -1h) = 0

Subproblem 1
Set the factor '(-14 + -3h)' equal to zero and attempt to solve:

Simplifying
-14 + -3h = 0

Solving
-14 + -3h = 0

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

Add '14' to each side of the equation.
-14 + 14 + -3h = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -3h = 0 + 14
-3h = 0 + 14

Combine like terms: 0 + 14 = 14
-3h = 14

Divide each side by '-3'.
h = -4.666666667

Simplifying
h = -4.666666667
Subproblem 2
Set the factor '(4 + -1h)' equal to zero and attempt to solve:

Simplifying
4 + -1h = 0

Solving
4 + -1h = 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 + -1h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1h = 0 + -4
-1h = 0 + -4

Combine like terms: 0 + -4 = -4
-1h = -4

Divide each side by '-1'.
h = 4

Simplifying
h = 4
Solution
h = {-4.666666667, 4}