Question 288234
Solve and check all proposed solutions. 
((12)/(x^2-9)) + ((x-5)/(x-3)) = 0 
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Multiply thru by x^2-9 to get:
12 + (x-5)(x+3) = 0
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x^2 -2x -3 = 0
Factor:
(x-3)(x+1) = 0
Possible solutions:
x = 3 or x = -1
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x=3 is not a solution because it makes the denominator zero.
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Only solution:
x = -1
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Cheers,
Stan H.