5h+2h^2=

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

Simplifying
5h + 2h2 = 0

Solving
5h + 2h2 = 0

Solving for variable 'h'.

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

Simplifying
5 + 2h = 0

Solving
5 + 2h = 0

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

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

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

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

Divide each side by '2'.
h = -2.5

Simplifying
h = -2.5
Solution
h = {0, -2.5}