5n^2+n-130=0

Solution for 5n^2+n-130=0 equation:

Simplifying
5n2 + n + -130 = 0

Reorder the terms:
-130 + n + 5n2 = 0

Solving
-130 + n + 5n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-26 + -5n)(5 + -1n) = 0

Subproblem 1
Set the factor '(-26 + -5n)' equal to zero and attempt to solve:

Simplifying
-26 + -5n = 0

Solving
-26 + -5n = 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 + -5n = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -5n = 0 + 26
-5n = 0 + 26

Combine like terms: 0 + 26 = 26
-5n = 26

Divide each side by '-5'.
n = -5.2

Simplifying
n = -5.2
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 = {-5.2, 5}