6h^2-3h=0

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

Simplifying
6h2 + -3h = 0

Reorder the terms:
-3h + 6h2 = 0

Solving
-3h + 6h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3h'.
3h(-1 + 2h) = 0

Ignore the factor 3.
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 '(-1 + 2h)' equal to zero and attempt to solve:

Simplifying
-1 + 2h = 0

Solving
-1 + 2h = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2h = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2h = 0 + 1
2h = 0 + 1

Combine like terms: 0 + 1 = 1
2h = 1

Divide each side by '2'.
h = 0.5

Simplifying
h = 0.5
Solution
h = {0, 0.5}