5n^2+n-328=0

Solution for 5n^2+n-328=0 equation:

Simplifying
5n2 + n + -328 = 0

Reorder the terms:
-328 + n + 5n2 = 0

Solving
-328 + n + 5n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-41 + -5n)(8 + -1n) = 0

Subproblem 1
Set the factor '(-41 + -5n)' equal to zero and attempt to solve:

Simplifying
-41 + -5n = 0

Solving
-41 + -5n = 0

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

Add '41' to each side of the equation.
-41 + 41 + -5n = 0 + 41

Combine like terms: -41 + 41 = 0
0 + -5n = 0 + 41
-5n = 0 + 41

Combine like terms: 0 + 41 = 41
-5n = 41

Divide each side by '-5'.
n = -8.2

Simplifying
n = -8.2
Subproblem 2
Set the factor '(8 + -1n)' equal to zero and attempt to solve:

Simplifying
8 + -1n = 0

Solving
8 + -1n = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = 0 + -8
-1n = 0 + -8

Combine like terms: 0 + -8 = -8
-1n = -8

Divide each side by '-1'.
n = 8

Simplifying
n = 8
Solution
n = {-8.2, 8}