32h^2+48h+18=0

Solution for 32h^2+48h+18=0 equation:

Simplifying
32h2 + 48h + 18 = 0

Reorder the terms:
18 + 48h + 32h2 = 0

Solving
18 + 48h + 32h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 24h + 16h2) = 0

Factor a trinomial.
2((3 + 4h)(3 + 4h)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + 4h)' equal to zero and attempt to solve:

Simplifying
3 + 4h = 0

Solving
3 + 4h = 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 + 4h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4h = 0 + -3
4h = 0 + -3

Combine like terms: 0 + -3 = -3
4h = -3

Divide each side by '4'.
h = -0.75

Simplifying
h = -0.75
Subproblem 2
Set the factor '(3 + 4h)' equal to zero and attempt to solve:

Simplifying
3 + 4h = 0

Solving
3 + 4h = 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 + 4h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4h = 0 + -3
4h = 0 + -3

Combine like terms: 0 + -3 = -3
4h = -3

Divide each side by '4'.
h = -0.75

Simplifying
h = -0.75
Solution
h = {-0.75, -0.75}