3h^2=-12h

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

Simplifying
3h2 = -12h

Solving
3h2 = -12h

Solving for variable 'h'.

Reorder the terms:
12h + 3h2 = -12h + 12h

Combine like terms: -12h + 12h = 0
12h + 3h2 = 0

Factor out the Greatest Common Factor (GCF), '3h'.
3h(4 + h) = 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 '(4 + h)' equal to zero and attempt to solve:

Simplifying
4 + h = 0

Solving
4 + h = 0

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

Add '-4' to each side of the equation.
4 + -4 + h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + h = 0 + -4
h = 0 + -4

Combine like terms: 0 + -4 = -4
h = -4

Simplifying
h = -4
Solution
h = {0, -4}