n^2+25n+144=0

Solution for n^2+25n+144=0 equation:

Simplifying
n2 + 25n + 144 = 0

Reorder the terms:
144 + 25n + n2 = 0

Solving
144 + 25n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(16 + n)(9 + n) = 0

Subproblem 1
Set the factor '(16 + n)' equal to zero and attempt to solve:

Simplifying
16 + n = 0

Solving
16 + n = 0

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

Add '-16' to each side of the equation.
16 + -16 + n = 0 + -16

Combine like terms: 16 + -16 = 0
0 + n = 0 + -16
n = 0 + -16

Combine like terms: 0 + -16 = -16
n = -16

Simplifying
n = -16
Subproblem 2
Set the factor '(9 + n)' equal to zero and attempt to solve:

Simplifying
9 + n = 0

Solving
9 + n = 0

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

Add '-9' to each side of the equation.
9 + -9 + n = 0 + -9

Combine like terms: 9 + -9 = 0
0 + n = 0 + -9
n = 0 + -9

Combine like terms: 0 + -9 = -9
n = -9

Simplifying
n = -9
Solution
n = {-16, -9}