SOLUTION: I need help finding the solution set of this problem: (the x2 is suppose to be x squared) (3-x)/(x2-9)=-3

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Question 1075653: I need help finding the solution set of this problem: (the x2 is suppose to be x squared)

(3-x)/(x2-9)=-3



Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%283-x%29%2F%28x%5E2-9%29=-3
factor the denominator, factor out -1 in the numerator
%28-1%28x+-+3%29%29%2F%28%28x-3%29%28x%2B3%29%29+=+-3
Cancel (x-3)
%28-1%29%2F%28x%2B3%29+=+-3
multiply both sides by (x+3),get rid of the denominator
-1 = -3(x+3)
-1 = -3x - 9
3x = -9 + 1
3x = -8
x = -8%2F3 a unique solution
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Check this on your calc, enter:
%283-%28-8%2F3%29%29%2F%28%28-8%2F3%29%5E2-9%29