9xn+6=6+9n

Solution for 9xn+6=6+9n equation:

Simplifying
9xn + 6 = 6 + 9n

Reorder the terms:
6 + 9nx = 6 + 9n

Add '-6' to each side of the equation.
6 + -6 + 9nx = 6 + -6 + 9n

Combine like terms: 6 + -6 = 0
0 + 9nx = 6 + -6 + 9n
9nx = 6 + -6 + 9n

Combine like terms: 6 + -6 = 0
9nx = 0 + 9n
9nx = 9n

Solving
9nx = 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-9n + 9nx = 9n + -9n

Combine like terms: 9n + -9n = 0
-9n + 9nx = 0

Factor out the Greatest Common Factor (GCF), '9n'.
9n(-1 + x) = 0

Ignore the factor 9.
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 '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

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

Combine like terms: -1 + 1 = 0
0 + x = 0 + 1
x = 0 + 1

Combine like terms: 0 + 1 = 1
x = 1

Add '-1x' to each side of the equation.
x + -1x = 1 + -1x

Combine like terms: x + -1x = 0
0 = 1 + -1x

Simplifying
0 = 1 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}