(n+1)(n+2)(n+3)=120

Solution for (n+1)(n+2)(n+3)=120 equation:

Simplifying
(n + 1)(n + 2)(n + 3) = 120

Reorder the terms:
(1 + n)(n + 2)(n + 3) = 120

Reorder the terms:
(1 + n)(2 + n)(n + 3) = 120

Reorder the terms:
(1 + n)(2 + n)(3 + n) = 120

Multiply (1 + n) * (2 + n)
(1(2 + n) + n(2 + n))(3 + n) = 120
((2 * 1 + n * 1) + n(2 + n))(3 + n) = 120
((2 + 1n) + n(2 + n))(3 + n) = 120
(2 + 1n + (2 * n + n * n))(3 + n) = 120
(2 + 1n + (2n + n2))(3 + n) = 120

Combine like terms: 1n + 2n = 3n
(2 + 3n + n2)(3 + n) = 120

Multiply (2 + 3n + n2) * (3 + n)
(2(3 + n) + 3n * (3 + n) + n2(3 + n)) = 120
((3 * 2 + n * 2) + 3n * (3 + n) + n2(3 + n)) = 120
((6 + 2n) + 3n * (3 + n) + n2(3 + n)) = 120
(6 + 2n + (3 * 3n + n * 3n) + n2(3 + n)) = 120
(6 + 2n + (9n + 3n2) + n2(3 + n)) = 120
(6 + 2n + 9n + 3n2 + (3 * n2 + n * n2)) = 120
(6 + 2n + 9n + 3n2 + (3n2 + n3)) = 120

Combine like terms: 2n + 9n = 11n
(6 + 11n + 3n2 + 3n2 + n3) = 120

Combine like terms: 3n2 + 3n2 = 6n2
(6 + 11n + 6n2 + n3) = 120

Solving
6 + 11n + 6n2 + n3 = 120

Solving for variable 'n'.

Reorder the terms:
6 + -120 + 11n + 6n2 + n3 = 120 + -120

Combine like terms: 6 + -120 = -114
-114 + 11n + 6n2 + n3 = 120 + -120

Combine like terms: 120 + -120 = 0
-114 + 11n + 6n2 + n3 = 0

The solution to this equation could not be determined.