6h^2+3h-30=0

Solution for 6h^2+3h-30=0 equation:

Simplifying
6h2 + 3h + -30 = 0

Reorder the terms:
-30 + 3h + 6h2 = 0

Solving
-30 + 3h + 6h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-10 + h + 2h2) = 0

Factor a trinomial.
3((-5 + -2h)(2 + -1h)) = 0

Ignore the factor 3.
Subproblem 1
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
Subproblem 2
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
Solution
h = {-2.5, 2}