2h^5+32h^4+110h^3=

Solution for 2h^5+32h^4+110h^3= equation:

Simplifying
2h5 + 32h4 + 110h3 = 0

Reorder the terms:
110h3 + 32h4 + 2h5 = 0

Solving
110h3 + 32h4 + 2h5 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2h3'.
2h3(55 + 16h + h2) = 0

Factor a trinomial.
2h3((11 + h)(5 + h)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'h3' equal to zero and attempt to solve:

Simplifying
h3 = 0

Solving
h3 = 0

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

Simplifying
h3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(11 + h)' equal to zero and attempt to solve:

Simplifying
11 + h = 0

Solving
11 + h = 0

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

Add '-11' to each side of the equation.
11 + -11 + h = 0 + -11

Combine like terms: 11 + -11 = 0
0 + h = 0 + -11
h = 0 + -11

Combine like terms: 0 + -11 = -11
h = -11

Simplifying
h = -11
Subproblem 3
Set the factor '(5 + h)' equal to zero and attempt to solve:

Simplifying
5 + h = 0

Solving
5 + h = 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 + h = 0 + -5

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

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

Simplifying
h = -5
Solution
h = {-11, -5}