You can put this solution on YOUR website!
Factor the third denominator, and the LCD will be (x+3)(x-3).
Multiply both sides by (x-3)(x+3).
Divide out the factors to clear the denominators:
For additional explanation on fractional equations, please see my own website. You can find my website by doing a Google search for my name "Dr. Robert J. Rapalje". Look for "Rapalje Homepage", which should be the first item on the search. Once you find my homepage, for a written explanation, click on "Basic, Intermediate, and College Algebra: One Step at a Time." Look in Intermediate Algebra in Chapter 2 for Section 2.07 Fractional Equations. There you will find a detailed explanation, and solutions to problems in LIVING COLOR!!
In addition, there is a FREE video of me teaching this topic a few years ago. To see the video, from my Homepage, look for "Rapalje Videos in Living Color." Choose Intermediate Algebra, and look for the video called "Fractional and Literal Equations."
I have many other topics explained in this way from Basic, Intermediate, and College Algebra. Please check out my website to see what I have. It's all FREE.
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus