This is not a homework question. I am doing a independent study refresher on precalc prior to taking calculus. Wolfram gives an unbelievably long series of steps with techniques I have not even heard of. Yet this is a problem out of a precalc book. Here is what I have so far:
1) Multiply both sides by $(x^2 - 9)$- (factoring the denominator doesn't seem to help): $y(x^2-9)= -x^3$
2) Distribute the $y$ on the left side: $x^2y-9y=-x^3$
3) Move $y$'s to right-side and $x$'s to left, by adding $x^2$ to both sides and subtracting $9y$ from both sides: $x^2y+x^3=9y$
4) Now factor $x^2$ out of the terms on left side: $x^2(y+x)=9y$
And this is as far as I can get. Can someone show the steps and if I am correct up to this point? This is my first post in Mathematics so please point out any errors in my question. Thank You!