So, if I was to start this off, I'd start it by multiplying both sides by 18, so that the question became x+9=144/x+9, right? That's how I started it out. After that, you'd multiply both sides by x+9, so that the equation became x^2+18x+81, right? What next? I've tried moving it all on to one side, so that the equation became x^2+18x+63, but that doesn't seem to work. I'm just really lost.

Also, I know this is probably useless, but I really need help on this tonight. It's part of a larger program (as you can see on the link) that I need to complete for tomorrow. It was a tough assignment, because if you get stuck, (like I did!) then you can't finish the work. If I don't figure this question, I can't just skip it and move on. I probably won't get credit for the work. I'd really, really appreciate someone helping me! Just give me a hint!