The discussion focuses on finding intersection points of the equations y=x-x³ and y=0, as well as y=6-x² and y=2. The first equation is solved by setting x-x³ equal to zero, leading to the factorization x(1-x²)=0, which identifies the intersection points at x=0 and x=±1. The second part of the discussion involves determining the intersection of the parabola y=6-x² with the horizontal line y=2, requiring the setting of the equations equal to each other for further analysis.
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