c^2=c

Solution for c^2=c equation:

Simplifying
c2 = c

Solving
c2 = c

Solving for variable 'c'.

Reorder the terms:
-1c + c2 = c + -1c

Combine like terms: c + -1c = 0
-1c + c2 = 0

Factor out the Greatest Common Factor (GCF), 'c'.
c(-1 + 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 '(-1 + c)' equal to zero and attempt to solve:

Simplifying
-1 + c = 0

Solving
-1 + c = 0

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

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

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

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

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