9h^2+32h=0

Solution for 9h^2+32h=0 equation:

Simplifying
9h2 + 32h = 0

Reorder the terms:
32h + 9h2 = 0

Solving
32h + 9h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h'.
h(32 + 9h) = 0

Subproblem 1
Set the factor 'h' equal to zero and attempt to solve:

Simplifying
h = 0

Solving
h = 0

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

Simplifying
h = 0
Subproblem 2
Set the factor '(32 + 9h)' equal to zero and attempt to solve:

Simplifying
32 + 9h = 0

Solving
32 + 9h = 0

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

Add '-32' to each side of the equation.
32 + -32 + 9h = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 9h = 0 + -32
9h = 0 + -32

Combine like terms: 0 + -32 = -32
9h = -32

Divide each side by '9'.
h = -3.555555556

Simplifying
h = -3.555555556
Solution
h = {0, -3.555555556}