4n^2-24n-2080=0

Solution for 4n^2-24n-2080=0 equation:

Simplifying
4n2 + -24n + -2080 = 0

Reorder the terms:
-2080 + -24n + 4n2 = 0

Solving
-2080 + -24n + 4n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-520 + -6n + n2) = 0

Factor a trinomial.
4((-20 + -1n)(26 + -1n)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-20 + -1n)' equal to zero and attempt to solve:

Simplifying
-20 + -1n = 0

Solving
-20 + -1n = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1n = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1n = 0 + 20
-1n = 0 + 20

Combine like terms: 0 + 20 = 20
-1n = 20

Divide each side by '-1'.
n = -20

Simplifying
n = -20
Subproblem 2
Set the factor '(26 + -1n)' equal to zero and attempt to solve:

Simplifying
26 + -1n = 0

Solving
26 + -1n = 0

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

Add '-26' to each side of the equation.
26 + -26 + -1n = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -1n = 0 + -26
-1n = 0 + -26

Combine like terms: 0 + -26 = -26
-1n = -26

Divide each side by '-1'.
n = 26

Simplifying
n = 26
Solution
n = {-20, 26}