9n^2-52n-12=0

Solution for 9n^2-52n-12=0 equation:

Simplifying
9n2 + -52n + -12 = 0

Reorder the terms:
-12 + -52n + 9n2 = 0

Solving
-12 + -52n + 9n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-2 + -9n)(6 + -1n) = 0

Subproblem 1
Set the factor '(-2 + -9n)' equal to zero and attempt to solve:

Simplifying
-2 + -9n = 0

Solving
-2 + -9n = 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 + -9n = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -9n = 0 + 2
-9n = 0 + 2

Combine like terms: 0 + 2 = 2
-9n = 2

Divide each side by '-9'.
n = -0.2222222222

Simplifying
n = -0.2222222222
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 = {-0.2222222222, 6}