What is the product of all roots to the equation

Question

++(x−1)(x−2)(x−3)+(x−2)(x−3)(x−4)(x−3)(x−4)(x−5)+(x−4)(x−5)(x−6)(x−5)(x−6)(x−7)+(x−6)(x−7)(x−8)=0?

Answer 1

++(x−1)(x−2)(x−3)+(....−7)+( what do the plus signs mean?

If you mean them as four added terms=0, then you have to figure the roots out first, by combining the terms.