n^2-n-32580=0

Solution for n^2-n-32580=0 equation:

Simplifying
n2 + -1n + -32580 = 0

Reorder the terms:
-32580 + -1n + n2 = 0

Solving
-32580 + -1n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-180 + -1n)(181 + -1n) = 0

Subproblem 1
Set the factor '(-180 + -1n)' equal to zero and attempt to solve:

Simplifying
-180 + -1n = 0

Solving
-180 + -1n = 0

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

Add '180' to each side of the equation.
-180 + 180 + -1n = 0 + 180

Combine like terms: -180 + 180 = 0
0 + -1n = 0 + 180
-1n = 0 + 180

Combine like terms: 0 + 180 = 180
-1n = 180

Divide each side by '-1'.
n = -180

Simplifying
n = -180
Subproblem 2
Set the factor '(181 + -1n)' equal to zero and attempt to solve:

Simplifying
181 + -1n = 0

Solving
181 + -1n = 0

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

Add '-181' to each side of the equation.
181 + -181 + -1n = 0 + -181

Combine like terms: 181 + -181 = 0
0 + -1n = 0 + -181
-1n = 0 + -181

Combine like terms: 0 + -181 = -181
-1n = -181

Divide each side by '-1'.
n = 181

Simplifying
n = 181
Solution
n = {-180, 181}