n^2+24n+23=0

Solution for n^2+24n+23=0 equation:

Simplifying
n2 + 24n + 23 = 0

Reorder the terms:
23 + 24n + n2 = 0

Solving
23 + 24n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(23 + n)(1 + n) = 0

Subproblem 1
Set the factor '(23 + n)' equal to zero and attempt to solve:

Simplifying
23 + n = 0

Solving
23 + n = 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 + n = 0 + -23

Combine like terms: 23 + -23 = 0
0 + n = 0 + -23
n = 0 + -23

Combine like terms: 0 + -23 = -23
n = -23

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

Simplifying
1 + n = 0

Solving
1 + n = 0

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

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

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

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

Simplifying
n = -1
Solution
n = {-23, -1}