n+(n+1)+(n+2)=n*(n+1)*(n+2)

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


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

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

Remove parenthesis around (1 + n)
n + 1 + n + (n + 2) = n(n + 1)(n + 2)

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

Remove parenthesis around (2 + n)
n + 1 + n + 2 + n = n(n + 1)(n + 2)

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

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

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

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

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

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

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

Combine like terms: 1n + 2n = 3n
3 + 3n = n(2 + 3n + n2)
3 + 3n = (2 * n + 3n * n + n2 * n)
3 + 3n = (2n + 3n2 + n3)

Solving
3 + 3n = 2n + 3n2 + n3

Solving for variable 'n'.

Combine like terms: 3n + -2n = 1n
3 + 1n + -3n2 + -1n3 = 2n + 3n2 + n3 + -2n + -3n2 + -1n3

Reorder the terms:
3 + 1n + -3n2 + -1n3 = 2n + -2n + 3n2 + -3n2 + n3 + -1n3

Combine like terms: 2n + -2n = 0
3 + 1n + -3n2 + -1n3 = 0 + 3n2 + -3n2 + n3 + -1n3
3 + 1n + -3n2 + -1n3 = 3n2 + -3n2 + n3 + -1n3

Combine like terms: 3n2 + -3n2 = 0
3 + 1n + -3n2 + -1n3 = 0 + n3 + -1n3
3 + 1n + -3n2 + -1n3 = n3 + -1n3

Combine like terms: n3 + -1n3 = 0
3 + 1n + -3n2 + -1n3 = 0

The solution to this equation could not be determined.

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