n^2+n-18632=0

Solution for n^2+n-18632=0 equation:

Simplifying
n2 + n + -18632 = 0

Reorder the terms:
-18632 + n + n2 = 0

Solving
-18632 + n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-137 + -1n)(136 + -1n) = 0

Subproblem 1
Set the factor '(-137 + -1n)' equal to zero and attempt to solve:

Simplifying
-137 + -1n = 0

Solving
-137 + -1n = 0

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

Add '137' to each side of the equation.
-137 + 137 + -1n = 0 + 137

Combine like terms: -137 + 137 = 0
0 + -1n = 0 + 137
-1n = 0 + 137

Combine like terms: 0 + 137 = 137
-1n = 137

Divide each side by '-1'.
n = -137

Simplifying
n = -137
Subproblem 2
Set the factor '(136 + -1n)' equal to zero and attempt to solve:

Simplifying
136 + -1n = 0

Solving
136 + -1n = 0

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

Add '-136' to each side of the equation.
136 + -136 + -1n = 0 + -136

Combine like terms: 136 + -136 = 0
0 + -1n = 0 + -136
-1n = 0 + -136

Combine like terms: 0 + -136 = -136
-1n = -136

Divide each side by '-1'.
n = 136

Simplifying
n = 136
Solution
n = {-137, 136}