5g^2-5g=0

Solution for 5g^2-5g=0 equation:

Simplifying
5g2 + -5g = 0

Reorder the terms:
-5g + 5g2 = 0

Solving
-5g + 5g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '5g'.
5g(-1 + g) = 0

Ignore the factor 5.
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 '(-1 + g)' equal to zero and attempt to solve:

Simplifying
-1 + g = 0

Solving
-1 + g = 0

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

Add '1' to each side of the equation.
-1 + 1 + g = 0 + 1

Combine like terms: -1 + 1 = 0
0 + g = 0 + 1
g = 0 + 1

Combine like terms: 0 + 1 = 1
g = 1

Simplifying
g = 1
Solution
g = {0, 1}