a(n-5)=

Solution for a(n-5)= equation:

Simplifying
a(n + -5) = 0

Reorder the terms:
a(-5 + n) = 0
(-5 * a + n * a) = 0
(-5a + an) = 0

Solving
-5a + an = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a'.
a(-5 + n) = 0

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(-5 + n)' equal to zero and attempt to solve:

Simplifying
-5 + n = 0

Solving
-5 + n = 0

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

Add '5' to each side of the equation.
-5 + 5 + n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + n = 0 + 5
n = 0 + 5

Combine like terms: 0 + 5 = 5
n = 5

Add '-1n' to each side of the equation.
n + -1n = 5 + -1n

Combine like terms: n + -1n = 0
0 = 5 + -1n

Simplifying
0 = 5 + -1n

The solution to this equation could not be determined.

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