Don't be tricked II

Algebra Level 2

Find the number of solutions for xx:

(x1)2(x2)2(x3)2(x4)(x5)(x1)(x2)(x3)=0\frac { { (x-1) }^{ 2 }{ (x-2) }^{ 2 }{ (x-3) }^{ 2 }(x-4)(x-5) }{ (x-1)(x-2)(x-3) } =\quad 0

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