2h^3+15h^2=3h^2

Solution for 2h^3+15h^2=3h^2 equation:

Simplifying
2h3 + 15h2 = 3h2

Reorder the terms:
15h2 + 2h3 = 3h2

Solving
15h2 + 2h3 = 3h2

Solving for variable 'h'.

Reorder the terms:
15h2 + -3h2 + 2h3 = 3h2 + -3h2

Combine like terms: 15h2 + -3h2 = 12h2
12h2 + 2h3 = 3h2 + -3h2

Combine like terms: 3h2 + -3h2 = 0
12h2 + 2h3 = 0

Factor out the Greatest Common Factor (GCF), '2h2'.
2h2(6 + h) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'h2' equal to zero and attempt to solve:

Simplifying
h2 = 0

Solving
h2 = 0

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

Simplifying
h2 = 0

Take the square root of each side:
h = {0}
Subproblem 2
Set the factor '(6 + h)' equal to zero and attempt to solve:

Simplifying
6 + h = 0

Solving
6 + h = 0

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

Add '-6' to each side of the equation.
6 + -6 + h = 0 + -6

Combine like terms: 6 + -6 = 0
0 + h = 0 + -6
h = 0 + -6

Combine like terms: 0 + -6 = -6
h = -6

Simplifying
h = -6
Solution
h = {0, -6}