n(n-1)-5=-5

Solution for n(n-1)-5=-5 equation:

Simplifying
n(n + -1) + -5 = -5

Reorder the terms:
n(-1 + n) + -5 = -5
(-1 * n + n * n) + -5 = -5
(-1n + n2) + -5 = -5

Reorder the terms:
-5 + -1n + n2 = -5

Add '5' to each side of the equation.
-5 + -1n + 5 + n2 = -5 + 5

Reorder the terms:
-5 + 5 + -1n + n2 = -5 + 5

Combine like terms: -5 + 5 = 0
0 + -1n + n2 = -5 + 5
-1n + n2 = -5 + 5

Combine like terms: -5 + 5 = 0
-1n + n2 = 0

Solving
-1n + n2 = 0

Solving for variable 'n'.

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}