Un=9n+(-6)n

Solution for Un=9n+(-6)n equation:

Simplifying
Un = 9n + (-6) * n

Combine like terms: 9n + -6n = 3n
nU = 3n

Solving
nU = 3n

Solving for variable 'n'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(-3 + U) = 0

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 '(-3 + U)' equal to zero and attempt to solve:

Simplifying
-3 + U = 0

Solving
-3 + U = 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 + U = 0 + 3

Combine like terms: -3 + 3 = 0
0 + U = 0 + 3
U = 0 + 3

Combine like terms: 0 + 3 = 3
U = 3

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

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

Simplifying
0 = 3 + -1U

The solution to this equation could not be determined.

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