8h^2+18h+9=0

Solution for 8h^2+18h+9=0 equation:

Simplifying
8h2 + 18h + 9 = 0

Reorder the terms:
9 + 18h + 8h2 = 0

Solving
9 + 18h + 8h2 = 0

Solving for variable 'h'.

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

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 '(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 = {-1.5, -0.75}