2h^3-50h=

Solution for 2h^3-50h= equation:

Simplifying
2h3 + -50h = 0

Reorder the terms:
-50h + 2h3 = 0

Solving
-50h + 2h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2h'.
2h(-25 + h2) = 0

Factor a difference between two squares.
2h((5 + h)(-5 + h)) = 0

Ignore the factor 2.
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 + 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
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 = {0, -5, 5}