5n^2-104=-6n

Solution for 5n^2-104=-6n equation:

Simplifying
5n2 + -104 = -6n

Reorder the terms:
-104 + 5n2 = -6n

Solving
-104 + 5n2 = -6n

Solving for variable 'n'.

Reorder the terms:
-104 + 6n + 5n2 = -6n + 6n

Combine like terms: -6n + 6n = 0
-104 + 6n + 5n2 = 0

Factor a trinomial.
(-26 + -5n)(4 + -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 '(4 + -1n)' equal to zero and attempt to solve:

Simplifying
4 + -1n = 0

Solving
4 + -1n = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = 0 + -4
-1n = 0 + -4

Combine like terms: 0 + -4 = -4
-1n = -4

Divide each side by '-1'.
n = 4

Simplifying
n = 4
Solution
n = {-5.2, 4}