Area Enclosed By A Curve

Geometry Level 5

Let \(A\) denote the area of the region enclosed by the curve \(5x^2 + 6xy + 2y^2 +7x + 6y +6 = 0\). Find the value of \( \dfrac{10A}\pi \).


This is my first problem! I would like to thank @Andrew Ellinor for the encouragement.
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