3h(h+1)=

Solution for 3h(h+1)= equation:

Simplifying
3h(h + 1) = 0

Reorder the terms:
3h(1 + h) = 0
(1 * 3h + h * 3h) = 0
(3h + 3h2) = 0

Solving
3h + 3h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3h'.
3h(1 + 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 '(1 + h)' equal to zero and attempt to solve:

Simplifying
1 + h = 0

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

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

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

Simplifying
h = -1
Solution
h = {0, -1}