55n^2-52n+12=0

Solution for 55n^2-52n+12=0 equation:

Simplifying
55n2 + -52n + 12 = 0

Reorder the terms:
12 + -52n + 55n2 = 0

Solving
12 + -52n + 55n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(2 + -5n)(6 + -11n) = 0

Subproblem 1
Set the factor '(2 + -5n)' equal to zero and attempt to solve:

Simplifying
2 + -5n = 0

Solving
2 + -5n = 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 + -5n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5n = 0 + -2
-5n = 0 + -2

Combine like terms: 0 + -2 = -2
-5n = -2

Divide each side by '-5'.
n = 0.4

Simplifying
n = 0.4
Subproblem 2
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
Solution
n = {0.4, 0.5454545455}