document.write( "Question 880084: If 5/n - 1/2 = 3/6n , what is the value of n \n" ); document.write( "
Algebra.Com's Answer #531682 by jim_thompson5910(35256)\"\" \"About 
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\"5%2Fn+-+1%2F2+=+3%2F%286n%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%282%2F2%29%2A%285%2Fn%29+-+1%2F2+=+3%2F%286n%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%2810%29%2F%282n%29+-+1%2F2+=+3%2F%286n%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%2810%29%2F%282n%29+-+%28n%2Fn%29%2A%281%2F2%29+=+3%2F%286n%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%2810%29%2F%282n%29+-+%28n%29%2F%282n%29+=+3%2F%286n%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%2810-n%29%2F%282n%29+=+3%2F%286n%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%2810-n%29%286n%29+=+%282n%29%2A3\"\r
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\n" ); document.write( "\n" ); document.write( "\"6n%2810-n%29+=+%282n%29%2A3\"\r
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\n" ); document.write( "\n" ); document.write( "\"6n%2810%29%2B6n%28-n%29+=+%282n%29%2A3\"\r
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\n" ); document.write( "\n" ); document.write( "\"60n-6n%5E2=6n\"\r
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\n" ); document.write( "\n" ); document.write( "\"60n-6n%5E2-6n=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"-6n%5E2-54n=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"-6n%28n-9%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"-6n=0\" or \"n-9=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"n=0\" or \"n=9\"\r
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\n" ); document.write( "\n" ); document.write( "The *possible* solutions are \"n=0\" or \"n=9\"\r
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\n" ); document.write( "\n" ); document.write( "However, you CANNOT divide by zero. So \"n=0\" is NOT a solution (look back at how we have \"5%2Fn\")\r
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\n" ); document.write( "\n" ); document.write( "This means \"n=9\" is the only solution.\r
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\n" ); document.write( "\n" ); document.write( "Final Answer: \"n=9\"
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