11n^2-24n+4=0

Solution for 11n^2-24n+4=0 equation:

Simplifying
11n2 + -24n + 4 = 0

Reorder the terms:
4 + -24n + 11n2 = 0

Solving
4 + -24n + 11n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(2 + -11n)(2 + -1n) = 0

Subproblem 1
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
Subproblem 2
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
Solution
n = {0.1818181818, 2}