SOLUTION: What values for x must be excluded in the following fraction? x-3 ----- (4x-5)(x+1)

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Question 119649: What values for x must be excluded in the following fraction?

x-3
-----
(4x-5)(x+1)
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-3%29%2F%28%284x-5%29%28x%2B1%29%29
the values of x that must be excluded are any values which make the denominator equal to zero. Since the denominator is a product of two terms, the values which make each term equal to zero need to be excluded. Take the first term and equate it to zero:
%284x-5%29=0
Solve for x:
4x=5
highlight%28x=5%2F4%29
Now, take the second term and equate it to zero:
x%2B1=0
Solve for x:
highlight%28x=-1%29
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Good Luck,
tutor_paul@yahoo.com