0=5h^2+33h+18

Solution for 0=5h^2+33h+18 equation:

Simplifying
0 = 5h2 + 33h + 18

Reorder the terms:
0 = 18 + 33h + 5h2

Solving
0 = 18 + 33h + 5h2

Solving for variable 'h'.

Combine like terms: 0 + -18 = -18
-18 + -33h + -5h2 = 18 + 33h + 5h2 + -18 + -33h + -5h2

Reorder the terms:
-18 + -33h + -5h2 = 18 + -18 + 33h + -33h + 5h2 + -5h2

Combine like terms: 18 + -18 = 0
-18 + -33h + -5h2 = 0 + 33h + -33h + 5h2 + -5h2
-18 + -33h + -5h2 = 33h + -33h + 5h2 + -5h2

Combine like terms: 33h + -33h = 0
-18 + -33h + -5h2 = 0 + 5h2 + -5h2
-18 + -33h + -5h2 = 5h2 + -5h2

Combine like terms: 5h2 + -5h2 = 0
-18 + -33h + -5h2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(18 + 33h + 5h2) = 0

Factor a trinomial.
-1((6 + h)(3 + 5h)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + h)' equal to zero and attempt to solve:

Simplifying
6 + h = 0

Solving
6 + h = 0

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

Add '-6' to each side of the equation.
6 + -6 + h = 0 + -6

Combine like terms: 6 + -6 = 0
0 + h = 0 + -6
h = 0 + -6

Combine like terms: 0 + -6 = -6
h = -6

Simplifying
h = -6
Subproblem 2
Set the factor '(3 + 5h)' equal to zero and attempt to solve:

Simplifying
3 + 5h = 0

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

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

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

Divide each side by '5'.
h = -0.6

Simplifying
h = -0.6
Solution
h = {-6, -0.6}