u(n)=9n-n

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Solution for u(n)=9n-n equation: 


Simplifying
u(n) = 9n + -1n

Multiply u * n
nu = 9n + -1n

Combine like terms: 9n + -1n = 8n
nu = 8n

Solving
nu = 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-8n + nu = 8n + -8n

Combine like terms: 8n + -8n = 0
-8n + nu = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-8 + 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 '(-8 + u)' equal to zero and attempt to solve:

Simplifying
-8 + u = 0

Solving
-8 + u = 0

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

Add '8' to each side of the equation.
-8 + 8 + u = 0 + 8

Combine like terms: -8 + 8 = 0
0 + u = 0 + 8
u = 0 + 8

Combine like terms: 0 + 8 = 8
u = 8

Add '-1u' to each side of the equation.
u + -1u = 8 + -1u

Combine like terms: u + -1u = 0
0 = 8 + -1u

Simplifying
0 = 8 + -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}

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