An algebra problem by Aneesh Kundu

Algebra Level 5

Solve the following system \[xy^2=15x^2+17xy+15y^2\]

\[x^2y=20x^2+3y^2\]

\[x\not =0, y\not =0\]

Enter your answer as the product of all possible distinct complex values of \(x\) and \(y\).

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