Problem 1

Algebra Level 4

(x2010+1)(1+x2+x4+...+x2008)=2010x2009\big(x^{2010}+1)(1+x^{2}+x^{4}+...+x^{2008})=2010x^{2009}

Let SS denote the set of all real values of xx such that they satisfy the equation above, then the number of elements in SS is?

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