A(n)=-6-6(n-1)

Solution for A(n)=-6-6(n-1) equation:

Simplifying
A(n) = -6 + -6(n + -1)

Multiply A * n
nA = -6 + -6(n + -1)

Reorder the terms:
nA = -6 + -6(-1 + n)
nA = -6 + (-1 * -6 + n * -6)
nA = -6 + (6 + -6n)

Combine like terms: -6 + 6 = 0
nA = 0 + -6n
nA = -6n

Solving
nA = -6n

Solving for variable 'n'.

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

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

Combine like terms: -6n + 6n = 0
6n + nA = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(6 + 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 '(6 + A)' equal to zero and attempt to solve:

Simplifying
6 + A = 0

Solving
6 + A = 0

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

Add '-6' to each side of the equation.
6 + -6 + A = 0 + -6

Combine like terms: 6 + -6 = 0
0 + A = 0 + -6
A = 0 + -6

Combine like terms: 0 + -6 = -6
A = -6

Add '-1A' to each side of the equation.
A + -1A = -6 + -1A

Combine like terms: A + -1A = 0
0 = -6 + -1A

Simplifying
0 = -6 + -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}