n^2=n

Solution for n^2=n equation:

Simplifying
n2 = n

Solving
n2 = n

Solving for variable 'n'.

Reorder the terms:
-1n + n2 = n + -1n

Combine like terms: n + -1n = 0
-1n + n2 = 0

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

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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(-1 + n)' equal to zero and attempt to solve:

Simplifying
-1 + n = 0

Solving
-1 + n = 0

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

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

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

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

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