0=n^2-n

Solution for 0=n^2-n equation:

Simplifying
0 = n2 + -1n

Reorder the terms:
0 = -1n + n2

Solving
0 = -1n + n2

Solving for variable 'n'.
Remove the zero:
n + -1n2 = -1n + n2 + n + -1n2

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

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

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

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

Simplifying
1 + -1n = 0

Solving
1 + -1n = 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 + -1n = 0 + -1

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

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

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

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