# Who's up to the challenge?

Calculus Level pending

For the equation $$x^2+2xy+2y^2+2x+2y+1 = 0$$, we are given that $$\dfrac{d^2 y}{dx^2} = \dfrac{abc+2fgh-af^2-bg^2-ch^2}{(hx+by+f)^3}$$, where $$a,b,c,f,g$$ and $$h$$ are constants.

Find $$a+b+c+f+g+h$$.

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