SOLUTION: 1/r^2-1=2/r^2+r-2

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Question 159351: 1/r^2-1=2/r^2+r-2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28r%5E2-1%29=2%2F%28r%5E2%2Br-2%29 Start with the given equation.


1%2F%28%28r%2B1%29%28r-1%29%29=2%2F%28r%5E2%2Br-2%29 Factor r%5E2-1 to get %28r%2B1%29%28r-1%29


1%2F%28%28r%2B1%29%28r-1%29%29=2%2F%28%28r%2B2%29%28r-1%29%29 Factor r%5E2%2Br-2 to get %28r%2B2%29%28r-1%29


1%28r%2B2%29=2%28r%2B1%29 Multiply both sides by the LCD %28r%2B1%29%28r-1%29%28r%2B2%29 to clear the fractions.


r%2B2=2r%2B2 Distribute.


r=2r%2B2-2 Subtract 2 from both sides.


r-2r=2-2 Subtract 2r from both sides.


-r=2-2 Combine like terms on the left side.


-r=0 Combine like terms on the right side.


r=%280%29%2F%28-1%29 Divide both sides by -1 to isolate r.


r=0 Reduce.


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Answer:

So the answer is r=0