(n+1)(n+1+1)(2(n+1)+1)=0

Solution for (n+1)(n+1+1)(2(n+1)+1)=0 equation:

Simplifying
(n + 1)(n + 1 + 1)(2(n + 1) + 1) = 0

Reorder the terms:
(1 + n)(n + 1 + 1)(2(n + 1) + 1) = 0

Reorder the terms:
(1 + n)(1 + 1 + n)(2(n + 1) + 1) = 0

Combine like terms: 1 + 1 = 2
(1 + n)(2 + n)(2(n + 1) + 1) = 0

Reorder the terms:
(1 + n)(2 + n)(2(1 + n) + 1) = 0
(1 + n)(2 + n)((1 * 2 + n * 2) + 1) = 0
(1 + n)(2 + n)((2 + 2n) + 1) = 0

Reorder the terms:
(1 + n)(2 + n)(2 + 1 + 2n) = 0

Combine like terms: 2 + 1 = 3
(1 + n)(2 + n)(3 + 2n) = 0

Multiply (1 + n) * (2 + n)
(1(2 + n) + n(2 + n))(3 + 2n) = 0
((2 * 1 + n * 1) + n(2 + n))(3 + 2n) = 0
((2 + 1n) + n(2 + n))(3 + 2n) = 0
(2 + 1n + (2 * n + n * n))(3 + 2n) = 0
(2 + 1n + (2n + n2))(3 + 2n) = 0

Combine like terms: 1n + 2n = 3n
(2 + 3n + n2)(3 + 2n) = 0

Multiply (2 + 3n + n2) * (3 + 2n)
(2(3 + 2n) + 3n * (3 + 2n) + n2(3 + 2n)) = 0
((3 * 2 + 2n * 2) + 3n * (3 + 2n) + n2(3 + 2n)) = 0
((6 + 4n) + 3n * (3 + 2n) + n2(3 + 2n)) = 0
(6 + 4n + (3 * 3n + 2n * 3n) + n2(3 + 2n)) = 0
(6 + 4n + (9n + 6n2) + n2(3 + 2n)) = 0
(6 + 4n + 9n + 6n2 + (3 * n2 + 2n * n2)) = 0
(6 + 4n + 9n + 6n2 + (3n2 + 2n3)) = 0

Combine like terms: 4n + 9n = 13n
(6 + 13n + 6n2 + 3n2 + 2n3) = 0

Combine like terms: 6n2 + 3n2 = 9n2
(6 + 13n + 9n2 + 2n3) = 0

Solving
6 + 13n + 9n2 + 2n3 = 0

Solving for variable 'n'.

The solution to this equation could not be determined.