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

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Question 78303: What values for x must be excluded in the following fraction?

x-3/(4x-5)(x+1)
thanks
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Since the denominator cannot equal zero, we must look for values that make this true
%284x-5%29%28x%2B1%29=0
Set each factor equal to zero
4x%2B5=0
4x=-5 Subtract 5 from both sides
x=-5%2F4 Divide both sides by 4
Set x+1 equal to zero
x%2B1=0
x=-1 Subtract 1 from both sides
So x cannot equal -1 or -5/4, this means we must exclude these numbers from our domain.