18h^2+15h-18=0

Solution for 18h^2+15h-18=0 equation:

Simplifying
18h2 + 15h + -18 = 0

Reorder the terms:
-18 + 15h + 18h2 = 0

Solving
-18 + 15h + 18h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + 5h + 6h2) = 0

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

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

Simplifying
2 + -3h = 0

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

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

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

Divide each side by '-3'.
h = 0.6666666667

Simplifying
h = 0.6666666667
Solution
h = {-1.5, 0.6666666667}