n=n(n-1)

Solution for n=n(n-1) equation:

Simplifying
n = n(n + -1)

Reorder the terms:
n = n(-1 + n)
n = (-1 * n + n * n)
n = (-1n + n2)

Solving
n = -1n + n2

Solving for variable 'n'.

Combine like terms: n + n = 2n
2n + -1n2 = -1n + n2 + n + -1n2

Reorder the terms:
2n + -1n2 = -1n + n + n2 + -1n2

Combine like terms: -1n + n = 0
2n + -1n2 = 0 + n2 + -1n2
2n + -1n2 = n2 + -1n2

Combine like terms: n2 + -1n2 = 0
2n + -1n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(2 + -1n) = 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 '(2 + -1n)' equal to zero and attempt to solve:

Simplifying
2 + -1n = 0

Solving
2 + -1n = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 0 + -2
-1n = 0 + -2

Combine like terms: 0 + -2 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2
Solution
n = {0, 2}