6h^2(7+h)=0

Solution for 6h^2(7+h)=0 equation:

Simplifying
6h2(7 + h) = 0
(7 * 6h2 + h * 6h2) = 0
(42h2 + 6h3) = 0

Solving
42h2 + 6h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '6h2'.
6h2(7 + h) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'h2' equal to zero and attempt to solve:

Simplifying
h2 = 0

Solving
h2 = 0

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

Simplifying
h2 = 0

Take the square root of each side:
h = {0}
Subproblem 2
Set the factor '(7 + h)' equal to zero and attempt to solve:

Simplifying
7 + h = 0

Solving
7 + h = 0

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

Add '-7' to each side of the equation.
7 + -7 + h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + h = 0 + -7
h = 0 + -7

Combine like terms: 0 + -7 = -7
h = -7

Simplifying
h = -7
Solution
h = {0, -7}