5n^2-8n-132=0

Solution for 5n^2-8n-132=0 equation:

Simplifying
5n2 + -8n + -132 = 0

Reorder the terms:
-132 + -8n + 5n2 = 0

Solving
-132 + -8n + 5n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-22 + -5n)(6 + -1n) = 0

Subproblem 1
Set the factor '(-22 + -5n)' equal to zero and attempt to solve:

Simplifying
-22 + -5n = 0

Solving
-22 + -5n = 0

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

Add '22' to each side of the equation.
-22 + 22 + -5n = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -5n = 0 + 22
-5n = 0 + 22

Combine like terms: 0 + 22 = 22
-5n = 22

Divide each side by '-5'.
n = -4.4

Simplifying
n = -4.4
Subproblem 2
Set the factor '(6 + -1n)' equal to zero and attempt to solve:

Simplifying
6 + -1n = 0

Solving
6 + -1n = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1n = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = 0 + -6
-1n = 0 + -6

Combine like terms: 0 + -6 = -6
-1n = -6

Divide each side by '-1'.
n = 6

Simplifying
n = 6
Solution
n = {-4.4, 6}