4n^2+3n-115=0

Solution for 4n^2+3n-115=0 equation:

Simplifying
4n2 + 3n + -115 = 0

Reorder the terms:
-115 + 3n + 4n2 = 0

Solving
-115 + 3n + 4n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-23 + -4n)(5 + -1n) = 0

Subproblem 1
Set the factor '(-23 + -4n)' equal to zero and attempt to solve:

Simplifying
-23 + -4n = 0

Solving
-23 + -4n = 0

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

Add '23' to each side of the equation.
-23 + 23 + -4n = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -4n = 0 + 23
-4n = 0 + 23

Combine like terms: 0 + 23 = 23
-4n = 23

Divide each side by '-4'.
n = -5.75

Simplifying
n = -5.75
Subproblem 2
Set the factor '(5 + -1n)' equal to zero and attempt to solve:

Simplifying
5 + -1n = 0

Solving
5 + -1n = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1n = 0 + -5
-1n = 0 + -5

Combine like terms: 0 + -5 = -5
-1n = -5

Divide each side by '-1'.
n = 5

Simplifying
n = 5
Solution
n = {-5.75, 5}