The curve $$\(C\)$$ has equation $$\[ 2 x-4 y^{2}+3 x^{2} y=4 x^{2}+8 \]$$ The point $$\(P(3,2)\)$$ lies on $$\(C\)$$. Find the equation of the normal to $$\(C\)$$ at the point $$\(P\)$$, writing your answer in the form $$\(a x+b y+c=0\)$$ where $$\(a, b\)$$ and $$\(c\)$$ are integers to be found. (7)

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