n^2+20n-96=0

Solution for n^2+20n-96=0 equation:

Simplifying
n2 + 20n + -96 = 0

Reorder the terms:
-96 + 20n + n2 = 0

Solving
-96 + 20n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-24 + -1n)(4 + -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 '(4 + -1n)' equal to zero and attempt to solve:

Simplifying
4 + -1n = 0

Solving
4 + -1n = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = 0 + -4
-1n = 0 + -4

Combine like terms: 0 + -4 = -4
-1n = -4

Divide each side by '-1'.
n = 4

Simplifying
n = 4
Solution
n = {-24, 4}