3h(6h+3)=

Solution for 3h(6h+3)= equation:

Simplifying
3h(6h + 3) = 0

Reorder the terms:
3h(3 + 6h) = 0
(3 * 3h + 6h * 3h) = 0
(9h + 18h2) = 0

Solving
9h + 18h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '9h'.
9h(1 + 2h) = 0

Ignore the factor 9.
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}