SOLUTION: (q^2/(q^2-16))- 2/q-4 = 3/q+4

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Question 80158: (q^2/(q^2-16))- 2/q-4 = 3/q+4
Answer by tutor_paul(519)   (Show Source): You can put this solution on YOUR website!

First, factor that denominator to make it easier to see what the upcoming LCD needs to be for combining this mess:

Get all like terms on one side of the equation:

Now, you can see that the LCD is (q+4)(q-4). You can rewrite the equation in terms of this LCD:

Now, combine all like terms. You should get:

Simplifying...

Now, factor that numeraotr so you can have a cancelling opportunity:

Aha, you can cancel the (q-4) terms.


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