SOLUTION: Can someone please help. I am confused. x/x+8-8/x-8=x^2+64/x^-64

Question 127397: Can someone please help. I am confused.
x/x+8-8/x-8=x^2+64/x^-64
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Factor to get

Here we can see that the LCD is

Multiply both sides by the LCD . This will eliminate the fractions

Distribute and multiply

Distribute again

Subtract from both sides. Subtract 64 from both sides.

Combine like terms

Add 128 to both sides

Divide both sides by 16 to isolate x

Divide

So the possible answer is

Check:

Now let's plug in into

Start with the given equation

Plug in

Combine like terms

Since we have zero denominators, the possible solution is not a solution.

So there are no solutions.
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