h^2(h+9)=0

Solution for h^2(h+9)=0 equation:

Simplifying
h2(h + 9) = 0

Reorder the terms:
h2(9 + h) = 0
(9 * h2 + h * h2) = 0
(9h2 + h3) = 0

Solving
9h2 + h3 = 0

Solving for variable 'h'.

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

Subproblem 1
Set the factor 'h2' equal to zero and attempt to solve:

Simplifying
h2 = 0

Solving
h2 = 0

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

Simplifying
h2 = 0

Take the square root of each side:
h = {0}
Subproblem 2
Set the factor '(9 + h)' equal to zero and attempt to solve:

Simplifying
9 + h = 0

Solving
9 + h = 0

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

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

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

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

Simplifying
h = -9
Solution
h = {0, -9}