Answer:

Step-by-step explanation:
Since you want to get q only and q appears in both side of the equation. Try to isolate q to one side.
1) Expand 2(q+p)
2q + 2p = 1 + 5q
2) Move all q terms to one side
5q - 2q = 2p - 1
3q = 2p - 1
3) Divide 3 on both side (to isolate q)
q = 
24 because it is the most common multiple of the two.
The expression in the denominator is

.
We can use this expression by completing the square, and the difference of squares as follows:


.
So, the zeros of the polynomial

are x=4 and x=-2.
Thus, the asymptotes are the lines x=-2, and x=4.
Answer: D