Two straight lines want to meet at a point

Level pending

the equation \[ 3 x^{2} + 7xy + 2 y^{2} + 5x + 5y+2 = 0 \] represents a pair of straight lines.Let the co-ordinates of the point of intersection be (a,b) .Compute a*b and it can be written in the form \( \frac{c}{d} \) where c and d are positive co-primes.Find c+d.

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