How complicated are the roots?

Algebra Level 3

True or False?

If a complex number NN satisfies N(N+1)(N+2)=5×6×7,N (N + 1)(N + 2)=5 \times 6 \times 7, then it must be the case that (N+6)(N+7)(N+8)=11×12×13. (N+6)(N+7)(N+8) =11\times12\times13.

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