N^2-N-36290=0

Solution for N^2-N-36290=0 equation:

Simplifying
N2 + -1N + -36290 = 0

Reorder the terms:
-36290 + -1N + N2 = 0

Solving
-36290 + -1N + N2 = 0

Solving for variable 'N'.

Factor a trinomial.
(-190 + -1N)(191 + -1N) = 0

Subproblem 1
Set the factor '(-190 + -1N)' equal to zero and attempt to solve:

Simplifying
-190 + -1N = 0

Solving
-190 + -1N = 0

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

Add '190' to each side of the equation.
-190 + 190 + -1N = 0 + 190

Combine like terms: -190 + 190 = 0
0 + -1N = 0 + 190
-1N = 0 + 190

Combine like terms: 0 + 190 = 190
-1N = 190

Divide each side by '-1'.
N = -190

Simplifying
N = -190
Subproblem 2
Set the factor '(191 + -1N)' equal to zero and attempt to solve:

Simplifying
191 + -1N = 0

Solving
191 + -1N = 0

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

Add '-191' to each side of the equation.
191 + -191 + -1N = 0 + -191

Combine like terms: 191 + -191 = 0
0 + -1N = 0 + -191
-1N = 0 + -191

Combine like terms: 0 + -191 = -191
-1N = -191

Divide each side by '-1'.
N = 191

Simplifying
N = 191
Solution
N = {-190, 191}