This one is a bit tricky. First lets write it using all math symbols. I'll call the whole quantity y, and let j=x.
Now, ordinarily this might be quite the troublesome problem. Our hope for a simple solution depends on factoring the denominator. It is a quadratic, so unless we can "see" how it factors, we will need to use the quadratic formula.
For a general quadratic equation:
the solution is given by
where 'sqrt( )' is the square root of a quantity.
So we must substitute in our values of a, b, and c into this equation. This will give us the factors of the denominator.
The denominator reads
so the values of a, b, and c are
Thus the value of x is given by
So the two values of x are
This means that we can write
(you can check that if you multiply these out, they are indeed equal).
Now we can rewrite our quantity:
Now we can notice the the numerator can be transformed as follow:
Thus we can write
Now we can cancel out the x+3 !
This is our final answer, except we must make the note that x≠9. That is, we cannot have x=9, otherwise we are dividing by 0.
I guess rewriting using j we have
2/(j-9), with j≠9
Hope this helps.