(n+11)2=n

Solution for (n+11)2=n equation:

Simplifying
(n + 11) * 2 = n

Reorder the terms:
(11 + n) * 2 = n

Reorder the terms for easier multiplication:
2(11 + n) = n
(11 * 2 + n * 2) = n
(22 + 2n) = n

Solving
22 + 2n = n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
22 + 2n + -1n = n + -1n

Combine like terms: 2n + -1n = 1n
22 + 1n = n + -1n

Combine like terms: n + -1n = 0
22 + 1n = 0

Add '-22' to each side of the equation.
22 + -22 + 1n = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 1n = 0 + -22
1n = 0 + -22

Combine like terms: 0 + -22 = -22
1n = -22

Divide each side by '1'.
n = -22

Simplifying
n = -22