5h^2+4h=0

Solution for 5h^2+4h=0 equation:

Simplifying
5h2 + 4h = 0

Reorder the terms:
4h + 5h2 = 0

Solving
4h + 5h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h'.
h(4 + 5h) = 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 '(4 + 5h)' equal to zero and attempt to solve:

Simplifying
4 + 5h = 0

Solving
4 + 5h = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5h = 0 + -4
5h = 0 + -4

Combine like terms: 0 + -4 = -4
5h = -4

Divide each side by '5'.
h = -0.8

Simplifying
h = -0.8
Solution
h = {0, -0.8}