A(n)=-2+(n-1)(-2)

Solution for A(n)=-2+(n-1)(-2) equation:

Simplifying
A(n) = -2 + (n + -1)(-2)

Multiply A * n
nA = -2 + (n + -1)(-2)

Reorder the terms:
nA = -2 + (-1 + n)(-2)

Reorder the terms for easier multiplication:
nA = -2 + -2(-1 + n)
nA = -2 + (-1 * -2 + n * -2)
nA = -2 + (2 + -2n)

Combine like terms: -2 + 2 = 0
nA = 0 + -2n
nA = -2n

Solving
nA = -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
2n + nA = -2n + 2n

Combine like terms: -2n + 2n = 0
2n + nA = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(2 + 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 '(2 + A)' equal to zero and attempt to solve:

Simplifying
2 + A = 0

Solving
2 + A = 0

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

Add '-2' to each side of the equation.
2 + -2 + A = 0 + -2

Combine like terms: 2 + -2 = 0
0 + A = 0 + -2
A = 0 + -2

Combine like terms: 0 + -2 = -2
A = -2

Add '-1A' to each side of the equation.
A + -1A = -2 + -1A

Combine like terms: A + -1A = 0
0 = -2 + -1A

Simplifying
0 = -2 + -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}