Question: Consider the curve given by the equation [ xy ^ 2 + 5 xy = 5 0 ] . It can be shown

Consider the curve given by the equation
\[xy^2+5xy=50\]. It can be shown that
\[\dfrac{dy}{dx}=\dfrac{-y(y+5)}{x(2y+5)}\].
Write the equation of the vertical line that is tangent to the curve.

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