30h^2+5h-75=

Solution for 30h^2+5h-75= equation:

Simplifying
30h2 + 5h + -75 = 0

Reorder the terms:
-75 + 5h + 30h2 = 0

Solving
-75 + 5h + 30h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-15 + h + 6h2) = 0

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

Ignore the factor 5.
Subproblem 1
Set the factor '(-5 + -3h)' equal to zero and attempt to solve:

Simplifying
-5 + -3h = 0

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

Combine like terms: -5 + 5 = 0
0 + -3h = 0 + 5
-3h = 0 + 5

Combine like terms: 0 + 5 = 5
-3h = 5

Divide each side by '-3'.
h = -1.666666667

Simplifying
h = -1.666666667
Subproblem 2
Set the factor '(3 + -2h)' equal to zero and attempt to solve:

Simplifying
3 + -2h = 0

Solving
3 + -2h = 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 + -2h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2h = 0 + -3
-2h = 0 + -3

Combine like terms: 0 + -3 = -3
-2h = -3

Divide each side by '-2'.
h = 1.5

Simplifying
h = 1.5
Solution
h = {-1.666666667, 1.5}