g(g-6)=0

Solution for g(g-6)=0 equation:

Simplifying
g(g + -6) = 0

Reorder the terms:
g(-6 + g) = 0
(-6 * g + g * g) = 0
(-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}