12n(11+n)=n

Solution for 12n(11+n)=n equation:

Simplifying
12n(11 + n) = n
(11 * 12n + n * 12n) = n
(132n + 12n2) = n

Solving
132n + 12n2 = n

Solving for variable 'n'.

Reorder the terms:
132n + -1n + 12n2 = n + -1n

Combine like terms: 132n + -1n = 131n
131n + 12n2 = n + -1n

Combine like terms: n + -1n = 0
131n + 12n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(131 + 12n) = 0

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(131 + 12n)' equal to zero and attempt to solve:

Simplifying
131 + 12n = 0

Solving
131 + 12n = 0

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

Add '-131' to each side of the equation.
131 + -131 + 12n = 0 + -131

Combine like terms: 131 + -131 = 0
0 + 12n = 0 + -131
12n = 0 + -131

Combine like terms: 0 + -131 = -131
12n = -131

Divide each side by '12'.
n = -10.91666667

Simplifying
n = -10.91666667
Solution
n = {0, -10.91666667}