c^2-5c=0

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

Simplifying
c2 + -5c = 0

Reorder the terms:
-5c + c2 = 0

Solving
-5c + c2 = 0

Solving for variable 'c'.

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

Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0
Subproblem 2
Set the factor '(-5 + c)' equal to zero and attempt to solve:

Simplifying
-5 + c = 0

Solving
-5 + c = 0

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

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

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

Combine like terms: 0 + 5 = 5
c = 5

Simplifying
c = 5
Solution
c = {0, 5}