h^2+39h=0

Solution for h^2+39h=0 equation:

Simplifying
h2 + 39h = 0

Reorder the terms:
39h + h2 = 0

Solving
39h + h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h'.
h(39 + 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 '(39 + h)' equal to zero and attempt to solve:

Simplifying
39 + h = 0

Solving
39 + h = 0

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

Add '-39' to each side of the equation.
39 + -39 + h = 0 + -39

Combine like terms: 39 + -39 = 0
0 + h = 0 + -39
h = 0 + -39

Combine like terms: 0 + -39 = -39
h = -39

Simplifying
h = -39
Solution
h = {0, -39}