document.write( "Question 908849: Please Solve 1/x - 1/x+4 = 1/3 \n" ); document.write( "
Algebra.Com's Answer #551358 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "if you have:
\n" ); document.write( "\"1%2Fx+-+1%2Fx%2B4+=+1%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"cross%281%2Fx+%29-+cross%281%2Fx%29%2B4+=+1%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"4+=+1%2F3\" ...since \"4+%3C%3E+1%2F3\", there is no solution\r
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\n" ); document.write( "\n" ); document.write( "but, if you have:\r
\n" ); document.write( "\n" ); document.write( "\"+1%2Fx+-+1%2F%28x%2B4%29+=+1%2F3+\" , than find common denominator\r
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\n" ); document.write( "\n" ); document.write( "\"1%28x%2B4%29%2F%28x%28x%2B4%29%29+-+1%2Ax%2F%28x%28x%2B4%29%29+=+1%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B4%29-+x%29%2F%28x%28x%2B4%29%29+=+1%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"+4%2F%28x%28x%2B4%29%29+=+1%2F3\"....cross multiply\r
\n" ); document.write( "\n" ); document.write( "\"4%2A3+=+1%2A%28x%28x%2B4%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"12+=+x%5E2%2B4x\"\r
\n" ); document.write( "\n" ); document.write( "\"0+=+x%5E2%2B4x-12\" or\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B4x-12=0\" ...solve for \"x\" by factoring; write \"4x\" as \"6x-2x\" \r
\n" ); document.write( "\n" ); document.write( "\"+x%5E2%2B6x-2x-12+=+0+\" ...group\r
\n" ); document.write( "\n" ); document.write( "\"+%28x%5E2%2B6x%29-%282x%2B12%29+=+0+\"\r
\n" ); document.write( "\n" ); document.write( "\"+x%28x%2B6%29-2%28x%2B6%29+=+0+\"\r
\n" ); document.write( "\n" ); document.write( "\"+%28x-2%29%28x%2B6%29+=+0+\"\r
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\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if \"+x-2+=+0+\" => \"x=2\"\r
\n" ); document.write( "\n" ); document.write( "if \"+x%2B6+=+0+\" => \"x=-6\"\r
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