121n^2+44n-12=0

Solution for 121n^2+44n-12=0 equation:

Simplifying
121n2 + 44n + -12 = 0

Reorder the terms:
-12 + 44n + 121n2 = 0

Solving
-12 + 44n + 121n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-6 + -11n)(2 + -11n) = 0

Subproblem 1
Set the factor '(-6 + -11n)' equal to zero and attempt to solve:

Simplifying
-6 + -11n = 0

Solving
-6 + -11n = 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 + -11n = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -11n = 0 + 6
-11n = 0 + 6

Combine like terms: 0 + 6 = 6
-11n = 6

Divide each side by '-11'.
n = -0.5454545455

Simplifying
n = -0.5454545455
Subproblem 2
Set the factor '(2 + -11n)' equal to zero and attempt to solve:

Simplifying
2 + -11n = 0

Solving
2 + -11n = 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 + -11n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -11n = 0 + -2
-11n = 0 + -2

Combine like terms: 0 + -2 = -2
-11n = -2

Divide each side by '-11'.
n = 0.1818181818

Simplifying
n = 0.1818181818
Solution
n = {-0.5454545455, 0.1818181818}