4h(2+6h)=

Solution for 4h(2+6h)= equation:

Simplifying
4h(2 + 6h) = 0
(2 * 4h + 6h * 4h) = 0
(8h + 24h2) = 0

Solving
8h + 24h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '8h'.
8h(1 + 3h) = 0

Ignore the factor 8.
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 + 3h)' equal to zero and attempt to solve:

Simplifying
1 + 3h = 0

Solving
1 + 3h = 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 + 3h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3h = 0 + -1
3h = 0 + -1

Combine like terms: 0 + -1 = -1
3h = -1

Divide each side by '3'.
h = -0.3333333333

Simplifying
h = -0.3333333333
Solution
h = {0, -0.3333333333}