6h^3-12h^2=0

Solution for 6h^3-12h^2=0 equation:

Simplifying
6h3 + -12h2 = 0

Reorder the terms:
-12h2 + 6h3 = 0

Solving
-12h2 + 6h3 = 0

Solving for variable 'h'.

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

Ignore the factor 6.
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 '(-2 + h)' equal to zero and attempt to solve:

Simplifying
-2 + h = 0

Solving
-2 + h = 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 + h = 0 + 2

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

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

Simplifying
h = 2
Solution
h = {0, 2}