3n^2-17n-1320=0

Solution for 3n^2-17n-1320=0 equation:

Simplifying
3n2 + -17n + -1320 = 0

Reorder the terms:
-1320 + -17n + 3n2 = 0

Solving
-1320 + -17n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-55 + -3n)(24 + -1n) = 0

Subproblem 1
Set the factor '(-55 + -3n)' equal to zero and attempt to solve:

Simplifying
-55 + -3n = 0

Solving
-55 + -3n = 0

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

Add '55' to each side of the equation.
-55 + 55 + -3n = 0 + 55

Combine like terms: -55 + 55 = 0
0 + -3n = 0 + 55
-3n = 0 + 55

Combine like terms: 0 + 55 = 55
-3n = 55

Divide each side by '-3'.
n = -18.33333333

Simplifying
n = -18.33333333
Subproblem 2
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
Solution
n = {-18.33333333, 24}