6h^2+h=0

Solution for 6h^2+h=0 equation:

Simplifying
6h2 + h = 0

Reorder the terms:
h + 6h2 = 0

Solving
h + 6h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h'.
h(1 + 6h) = 0

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 + 6h)' equal to zero and attempt to solve:

Simplifying
1 + 6h = 0

Solving
1 + 6h = 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 + 6h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6h = 0 + -1
6h = 0 + -1

Combine like terms: 0 + -1 = -1
6h = -1

Divide each side by '6'.
h = -0.1666666667

Simplifying
h = -0.1666666667
Solution
h = {0, -0.1666666667}