n(n-1)=132

Solution for n(n-1)=132 equation:

Simplifying
n(n + -1) = 132

Reorder the terms:
n(-1 + n) = 132
(-1 * n + n * n) = 132
(-1n + n2) = 132

Solving
-1n + n2 = 132

Solving for variable 'n'.

Reorder the terms:
-132 + -1n + n2 = 132 + -132

Combine like terms: 132 + -132 = 0
-132 + -1n + n2 = 0

Factor a trinomial.
(-11 + -1n)(12 + -1n) = 0

Subproblem 1
Set the factor '(-11 + -1n)' equal to zero and attempt to solve:

Simplifying
-11 + -1n = 0

Solving
-11 + -1n = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1n = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1n = 0 + 11
-1n = 0 + 11

Combine like terms: 0 + 11 = 11
-1n = 11

Divide each side by '-1'.
n = -11

Simplifying
n = -11
Subproblem 2
Set the factor '(12 + -1n)' equal to zero and attempt to solve:

Simplifying
12 + -1n = 0

Solving
12 + -1n = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1n = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1n = 0 + -12
-1n = 0 + -12

Combine like terms: 0 + -12 = -12
-1n = -12

Divide each side by '-1'.
n = 12

Simplifying
n = 12
Solution
n = {-11, 12}