3h(4h+6h+8)=

Solution for 3h(4h+6h+8)= equation:

Simplifying
3h(4h + 6h + 8) = 0

Reorder the terms:
3h(8 + 4h + 6h) = 0

Combine like terms: 4h + 6h = 10h
3h(8 + 10h) = 0
(8 * 3h + 10h * 3h) = 0
(24h + 30h2) = 0

Solving
24h + 30h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '6h'.
6h(4 + 5h) = 0

Ignore the factor 6.
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 + 5h)' equal to zero and attempt to solve:

Simplifying
4 + 5h = 0

Solving
4 + 5h = 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 + 5h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5h = 0 + -4
5h = 0 + -4

Combine like terms: 0 + -4 = -4
5h = -4

Divide each side by '5'.
h = -0.8

Simplifying
h = -0.8
Solution
h = {0, -0.8}