h^2+10h=0

Solution for h^2+10h=0 equation:

Simplifying
h2 + 10h = 0

Reorder the terms:
10h + h2 = 0

Solving
10h + h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h'.
h(10 + 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 '(10 + h)' equal to zero and attempt to solve:

Simplifying
10 + h = 0

Solving
10 + h = 0

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

Add '-10' to each side of the equation.
10 + -10 + h = 0 + -10

Combine like terms: 10 + -10 = 0
0 + h = 0 + -10
h = 0 + -10

Combine like terms: 0 + -10 = -10
h = -10

Simplifying
h = -10
Solution
h = {0, -10}