h^2+16h=-16h

Solution for h^2+16h=-16h equation:

Simplifying
h2 + 16h = -16h

Reorder the terms:
16h + h2 = -16h

Solving
16h + h2 = -16h

Solving for variable 'h'.

Reorder the terms:
16h + 16h + h2 = -16h + 16h

Combine like terms: 16h + 16h = 32h
32h + h2 = -16h + 16h

Combine like terms: -16h + 16h = 0
32h + h2 = 0

Factor out the Greatest Common Factor (GCF), 'h'.
h(32 + h) = 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 + h)' equal to zero and attempt to solve:

Simplifying
32 + h = 0

Solving
32 + h = 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 + h = 0 + -32

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

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

Simplifying
h = -32
Solution
h = {0, -32}