document.write( "Question 152604: Solve for \"u\"\r
\n" ); document.write( "\n" ); document.write( "1/u + 5/u-2 = 4/u-2 \r
\n" ); document.write( "\n" ); document.write( "So far I know I have to find a common denominator so I multiply by \"u\" or \"u-2\" and I have 1(u-2)/u(u-2) + 5u/u(u-2)=4u/u(u-2) but then I end up with a bunch of u^2 and I am not sure what to do.\r
\n" ); document.write( "\n" ); document.write( "Thanks so much
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Algebra.Com's Answer #112165 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%281%29%2F%28u%29%2B%285%29%2F%28u-2%29=%284%29%2F%28u-2%29\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"%281%29%2F%281u%29%2B%285%29%2F%28u-2%29=%284%29%2F%28u-2%29\" Factor any denominators.\r
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\n" ); document.write( "\n" ); document.write( " Multiply every term on both sides by the LCD \"u%28u-2%29\". Doing this will eliminate all of the fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"u-2%2B5u=4u\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "\"6u-2=4u\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"6u=4u%2B2\" Add \"2\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"6u-4u=2\" Subtract \"4u\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"2u=2\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"u=%282%29%2F%282%29\" Divide both sides by \"2\" to isolate \"u\".\r
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\n" ); document.write( "\n" ); document.write( "\"u=1\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the answer is \"u=1\"
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