g(g+5)=0

Solution for g(g+5)=0 equation:

Simplifying
g(g + 5) = 0

Reorder the terms:
g(5 + g) = 0
(5 * g + g * g) = 0
(5g + g2) = 0

Solving
5g + g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), 'g'.
g(5 + 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 '(5 + g)' equal to zero and attempt to solve:

Simplifying
5 + g = 0

Solving
5 + g = 0

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

Add '-5' to each side of the equation.
5 + -5 + g = 0 + -5

Combine like terms: 5 + -5 = 0
0 + g = 0 + -5
g = 0 + -5

Combine like terms: 0 + -5 = -5
g = -5

Simplifying
g = -5
Solution
g = {0, -5}