(m+6)+n+(n*n)=86

Solution for (m+6)+n+(n*n)=86 equation:

Simplifying
(m + 6) + n + (n * n) = 86

Reorder the terms:
(6 + m) + n + (n * n) = 86

Remove parenthesis around (6 + m)
6 + m + n + (n * n) = 86

Multiply n * n
6 + m + n + (n2) = 86
6 + m + n + n2 = 86

Solving
6 + m + n + n2 = 86

Solving for variable 'm'.

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

Add '-6' to each side of the equation.
6 + m + n + -6 + n2 = 86 + -6

Reorder the terms:
6 + -6 + m + n + n2 = 86 + -6

Combine like terms: 6 + -6 = 0
0 + m + n + n2 = 86 + -6
m + n + n2 = 86 + -6

Combine like terms: 86 + -6 = 80
m + n + n2 = 80

Add '-1n' to each side of the equation.
m + n + -1n + n2 = 80 + -1n

Combine like terms: n + -1n = 0
m + 0 + n2 = 80 + -1n
m + n2 = 80 + -1n

Add '-1n2' to each side of the equation.
m + n2 + -1n2 = 80 + -1n + -1n2

Combine like terms: n2 + -1n2 = 0
m + 0 = 80 + -1n + -1n2
m = 80 + -1n + -1n2

Simplifying
m = 80 + -1n + -1n2