2g(g+6)=0

Solution for 2g(g+6)=0 equation:

Simplifying
2g(g + 6) = 0

Reorder the terms:
2g(6 + g) = 0
(6 * 2g + g * 2g) = 0
(12g + 2g2) = 0

Solving
12g + 2g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '2g'.
2g(6 + g) = 0

Ignore the factor 2.
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 '(6 + g)' equal to zero and attempt to solve:

Simplifying
6 + g = 0

Solving
6 + g = 0

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

Add '-6' to each side of the equation.
6 + -6 + g = 0 + -6

Combine like terms: 6 + -6 = 0
0 + g = 0 + -6
g = 0 + -6

Combine like terms: 0 + -6 = -6
g = -6

Simplifying
g = -6
Solution
g = {0, -6}