This appears to be just an expression we are simplifying, not an equation we are solving. I THINK you are saying that the expression looks like this:
[tex] \frac{9x}{ \sqrt{-2x-11} } [/tex]
If you rationalize the denominator, you would get this expression:
[tex] \frac{9x}{ \sqrt{-2x-11} } * \frac{ \sqrt{-2x-11} }{ \sqrt{-2x-11} } [/tex]
which, after simplifying, looks like this:
[tex] \frac{9x \sqrt{-2x-11} }{-2x-11} [/tex]
and that's as simple as I can see that one getting. You can't factor anything out of the denominator to cancel with the numerator, so I think you're as simple as you can get there!
