My attempt: I wrote it down on paper and I have nothing I could use to take a picture of, I'm not sure how I can write it out but:
square both sides to get rid of the radical sign on the left side then use FOIL on right side.
q^2/2 + 11 = q^2 - 2q + 2
q^2 - 4q - 18
then i put it into the quadratic formula, q^2 = a -4 = b -18 = c
after that, I ended up with http://puu.sh/3kEO7.png
the answer for this question is suppose to be q = 2 + 2(sqrt(6))
i don't know how to get the right answer.