5h^2+2h=0

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

Simplifying
5h2 + 2h = 0

Reorder the terms:
2h + 5h2 = 0

Solving
2h + 5h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h'.
h(2 + 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 '(2 + 5h)' equal to zero and attempt to solve:

Simplifying
2 + 5h = 0

Solving
2 + 5h = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5h = 0 + -2
5h = 0 + -2

Combine like terms: 0 + -2 = -2
5h = -2

Divide each side by '5'.
h = -0.4

Simplifying
h = -0.4
Solution
h = {0, -0.4}