7h(9h+6)=

Solution for 7h(9h+6)= equation:

Simplifying
7h(9h + 6) = 0

Reorder the terms:
7h(6 + 9h) = 0
(6 * 7h + 9h * 7h) = 0
(42h + 63h2) = 0

Solving
42h + 63h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '21h'.
21h(2 + 3h) = 0

Ignore the factor 21.
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 '(2 + 3h)' equal to zero and attempt to solve:

Simplifying
2 + 3h = 0

Solving
2 + 3h = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3h = 0 + -2
3h = 0 + -2

Combine like terms: 0 + -2 = -2
3h = -2

Divide each side by '3'.
h = -0.6666666667

Simplifying
h = -0.6666666667
Solution
h = {0, -0.6666666667}