An=n^2+2n+1

Solution for An=n^2+2n+1 equation:

Simplifying
An = n2 + 2n + 1

Reorder the terms:
nA = 1 + 2n + n2

Solving
nA = 1 + 2n + n2

Solving for variable 'n'.

Reorder the terms:
-1 + -2n + nA + -1n2 = 1 + 2n + n2 + -1 + -2n + -1n2

Reorder the terms:
-1 + -2n + nA + -1n2 = 1 + -1 + 2n + -2n + n2 + -1n2

Combine like terms: 1 + -1 = 0
-1 + -2n + nA + -1n2 = 0 + 2n + -2n + n2 + -1n2
-1 + -2n + nA + -1n2 = 2n + -2n + n2 + -1n2

Combine like terms: 2n + -2n = 0
-1 + -2n + nA + -1n2 = 0 + n2 + -1n2
-1 + -2n + nA + -1n2 = n2 + -1n2

Combine like terms: n2 + -1n2 = 0
-1 + -2n + nA + -1n2 = 0

The solution to this equation could not be determined.