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ILL 1983 Problem 59

    Solve the equation tan⁡2(2x)+2tan⁡(2x)⋅tan⁡(3x)−1=0.\tan^2(2x) + 2 \tan(2x) \cdot \tan(3x) -1 = 0.

    Dataset text AI-MO AoPS. Quoted with source.

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