, with 

 -------- Cross-multiplying







0 = (3x + 8)(x - 3)

3x + 8 = 0        OR          x - 3 = 0

3x = - 8          OR          x = 0 + 3

          OR          x = 3 (ignore as this is an EXTRANEOUS solution) 

Answer by ikleyn(52880)   (Show Source): You can put this solution on YOUR website!
 .



The domain of the left side function is all number line except x = +/- 3.
So, in all consideration below x =/= +- 3.

Now factor the denominator:



Since x =/= 3, we can cancel (x-3) in the numerator and the denominator:



 = 

 = 

 = 

 = 

 = 

 =   -----> answer is B


 

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