n(n+1)(n+2)(n+3)=

Solution for n(n+1)(n+2)(n+3)= equation:

Simplifying
n(n + 1)(n + 2)(n + 3) = 0

Reorder the terms:
n(1 + n)(n + 2)(n + 3) = 0

Reorder the terms:
n(1 + n)(2 + n)(n + 3) = 0

Reorder the terms:
n(1 + n)(2 + n)(3 + n) = 0

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

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

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

Combine like terms: 2n + 9n = 11n
n(6 + 11n + 3n2 + 3n2 + n3) = 0

Combine like terms: 3n2 + 3n2 = 6n2
n(6 + 11n + 6n2 + n3) = 0
(6 * n + 11n * n + 6n2 * n + n3 * n) = 0
(6n + 11n2 + 6n3 + n4) = 0

Solving
6n + 11n2 + 6n3 + n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(6 + 11n + 6n2 + n3) = 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 + 11n + 6n2 + n3)' equal to zero and attempt to solve:

Simplifying
6 + 11n + 6n2 + n3 = 0

Solving
6 + 11n + 6n2 + n3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}