g^2+6g=0

Solution for g^2+6g=0 equation:

Simplifying
g2 + 6g = 0

Reorder the terms:
6g + g2 = 0

Solving
6g + g2 = 0

Solving for variable 'g'.

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

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}