A(n)=5n

Solution for A(n)=5n equation:

Simplifying
A(n) = 5n

Multiply A * n
nA = 5n

Solving
nA = 5n

Solving for variable 'n'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(-5 + A) = 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 '(-5 + A)' equal to zero and attempt to solve:

Simplifying
-5 + A = 0

Solving
-5 + A = 0

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

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

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

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

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

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

Simplifying
0 = 5 + -1A

The solution to this equation could not be determined.

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