exam Maths Puzzle Numerical Ability

A group of goats and ducks have a total of 99 heads and legs among them, there are twice as many ducks as there are goats. How many are there of each?

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Hi. Thanks in advance for your help. The problem is:

S = p / (q+p)(1-q) ; solve for "q"

I know the answer for this problem is: q = p(1-s) / s(1-p)
But I can't seem to get th How do you factor completly, x^2 + 12xy + 35y^2 whats the answer?