n^2+25n+24=0

Solution for n^2+25n+24=0 equation:

Simplifying
n2 + 25n + 24 = 0

Reorder the terms:
24 + 25n + n2 = 0

Solving
24 + 25n + n2 = 0

Solving for variable 'n'.

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

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

Simplifying
24 + n = 0

Solving
24 + n = 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 + n = 0 + -24

Combine like terms: 24 + -24 = 0
0 + n = 0 + -24
n = 0 + -24

Combine like terms: 0 + -24 = -24
n = -24

Simplifying
n = -24
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 = {-24, -1}