g(3g+6)=

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

Simplifying
g(3g + 6) = 0

Reorder the terms:
g(6 + 3g) = 0
(6 * g + 3g * g) = 0
(6g + 3g2) = 0

Solving
6g + 3g2 = 0

Solving for variable 'g'.

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

Ignore the factor 3.
Subproblem 1
Set the factor 'g' equal to zero and attempt to solve:

Simplifying
g = 0

Solving
g = 0

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

Simplifying
g = 0
Subproblem 2
Set the factor '(2 + g)' equal to zero and attempt to solve:

Simplifying
2 + g = 0

Solving
2 + g = 0

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

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

Combine like terms: 2 + -2 = 0
0 + g = 0 + -2
g = 0 + -2

Combine like terms: 0 + -2 = -2
g = -2

Simplifying
g = -2
Solution
g = {0, -2}