6n^2-n-26=0

Solution for 6n^2-n-26=0 equation:

Simplifying
6n2 + -1n + -26 = 0

Reorder the terms:
-26 + -1n + 6n2 = 0

Solving
-26 + -1n + 6n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-2 + -1n)(13 + -6n) = 0

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

Simplifying
-2 + -1n = 0

Solving
-2 + -1n = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1n = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1n = 0 + 2
-1n = 0 + 2

Combine like terms: 0 + 2 = 2
-1n = 2

Divide each side by '-1'.
n = -2

Simplifying
n = -2
Subproblem 2
Set the factor '(13 + -6n)' equal to zero and attempt to solve:

Simplifying
13 + -6n = 0

Solving
13 + -6n = 0

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

Add '-13' to each side of the equation.
13 + -13 + -6n = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -6n = 0 + -13
-6n = 0 + -13

Combine like terms: 0 + -13 = -13
-6n = -13

Divide each side by '-6'.
n = 2.166666667

Simplifying
n = 2.166666667
Solution
n = {-2, 2.166666667}