An=-n^2

Solution for An=-n^2 equation:

Simplifying
An = -1n2

Solving
nA = -1n2

Solving for variable 'n'.

Combine like terms: -1n2 + n2 = 0
nA + n2 = 0

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

Simplifying
A + n = 0

Solving
A + n = 0

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

Add '-1A' to each side of the equation.
A + -1A + n = 0 + -1A

Combine like terms: A + -1A = 0
0 + n = 0 + -1A
n = 0 + -1A
Remove the zero:
n = -1A

Simplifying
n = -1A
Solution
n = {0, -1A}