Roots united and enumerated

Algebra Level 5

How many distinct solutions (not necessarily real) exist for the equation (x−1)(x2−1)(x3−1)⋯(x10−1)=0 ? (x-1)\big(x^2-1\big)\big(x^3-1\big)\cdots \big(x^{10}-1\big)=0\,?

Bulbuul Dev by Bulbuul Dev
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