N^2+N-552=0

Solution for N^2+N-552=0 equation:

Simplifying
N2 + N + -552 = 0

Reorder the terms:
-552 + N + N2 = 0

Solving
-552 + N + N2 = 0

Solving for variable 'N'.

Factor a trinomial.
(-24 + -1N)(23 + -1N) = 0

Subproblem 1
Set the factor '(-24 + -1N)' equal to zero and attempt to solve:

Simplifying
-24 + -1N = 0

Solving
-24 + -1N = 0

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

Add '24' to each side of the equation.
-24 + 24 + -1N = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1N = 0 + 24
-1N = 0 + 24

Combine like terms: 0 + 24 = 24
-1N = 24

Divide each side by '-1'.
N = -24

Simplifying
N = -24
Subproblem 2
Set the factor '(23 + -1N)' equal to zero and attempt to solve:

Simplifying
23 + -1N = 0

Solving
23 + -1N = 0

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

Add '-23' to each side of the equation.
23 + -23 + -1N = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1N = 0 + -23
-1N = 0 + -23

Combine like terms: 0 + -23 = -23
-1N = -23

Divide each side by '-1'.
N = 23

Simplifying
N = 23
Solution
N = {-24, 23}