document.write( "Question 76978: Can i please get assistance with this problem?\r
\n" ); document.write( "\n" ); document.write( "x/x-2-x+1/x=8/x^2-2x \n" ); document.write( "
Algebra.Com's Answer #55348 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
\"x%2F%28%28x-2%29%29\"-\"%28%28x%2B1%29%29%2Fx\" = \"8%2F%28%28x%5E2-2x%29%29\"
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\n" ); document.write( "Factor out x from (x^2 - 2x); note that x(x-2) will be the common denominator:
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\n" ); document.write( "\"x%28x-2%29x%2F%28%28x-2%29%29\"-\"%28x%28x-2%29%28x%2B1%29%29%2Fx\" = \"x%28x-2%298%2F%28x%28x-2%29%29\"; multiplied equation by x(x-2)
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\n" ); document.write( "Cancel out the denominators, you have:
\n" ); document.write( "x(x) - (x-2)(x+1) = 8
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\n" ); document.write( "x^2 - (x^2 - x - 2) = 8; FOILed (x-2)(x+1)
\n" ); document.write( "x^2 - x^2 + x + 2 = 8; change the signs inside when you remove the brackets
\n" ); document.write( "x^2 - x^2 + x = 8 - 2; note that the x^2's will cancel out
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\n" ); document.write( "x = 6
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\n" ); document.write( "Check solution in original equation:
\n" ); document.write( "\"6%2F%28%286-2%29%29\"-\"%28%286%2B1%29%29%2F6\" = \"8%2F%28%286%5E2-2%286%29%29%29\"
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\n" ); document.write( "\"6%2F%284%29\"-\"%287%29%2F6\" = \"8%2F%28%2836-12%29%29\"
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\n" ); document.write( "\"6%2F%284%29\"-\"%287%29%2F6\" = \"8%2F24\"
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\n" ); document.write( "\"36%2F%2824%29\"-\"%2828%29%2F24\" = \"8%2F24\"
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\n" ); document.write( "Did this help?
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