-n+(-n)(-n)=6

Solution for -n+(-n)(-n)=6 equation:

Simplifying
-1n + (-1n)(-1n) = 6

Remove parenthesis around (-1n)
-1n + -1n(-1n) = 6

Remove parenthesis around (-1n)
-1n + -1n * -1n = 6

Reorder the terms for easier multiplication:
-1n + -1 * -1n * n = 6

Multiply -1 * -1
-1n + 1n * n = 6

Multiply n * n
-1n + 1n2 = 6

Solving
-1n + 1n2 = 6

Solving for variable 'n'.

Reorder the terms:
-6 + -1n + 1n2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -1n + 1n2 = 0

Factor a trinomial.
(-2 + -1n)(3 + -1n) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(3 + -1n)' equal to zero and attempt to solve:

Simplifying
3 + -1n = 0

Solving
3 + -1n = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1n = 0 + -3
-1n = 0 + -3

Combine like terms: 0 + -3 = -3
-1n = -3

Divide each side by '-1'.
n = 3

Simplifying
n = 3
Solution
n = {-2, 3}