(n+41)2+5=n

Solution for (n+41)2+5=n equation:

Simplifying
(n + 41) * 2 + 5 = n

Reorder the terms:
(41 + n) * 2 + 5 = n

Reorder the terms for easier multiplication:
2(41 + n) + 5 = n
(41 * 2 + n * 2) + 5 = n
(82 + 2n) + 5 = n

Reorder the terms:
82 + 5 + 2n = n

Combine like terms: 82 + 5 = 87
87 + 2n = n

Solving
87 + 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.
87 + 2n + -1n = n + -1n

Combine like terms: 2n + -1n = 1n
87 + 1n = n + -1n

Combine like terms: n + -1n = 0
87 + 1n = 0

Add '-87' to each side of the equation.
87 + -87 + 1n = 0 + -87

Combine like terms: 87 + -87 = 0
0 + 1n = 0 + -87
1n = 0 + -87

Combine like terms: 0 + -87 = -87
1n = -87

Divide each side by '1'.
n = -87

Simplifying
n = -87