document.write( "Question 1156961: Let x, y, z be nonzero real numbers such that \"x+%2B+y+%2B+z+=+0\", and \"xy+%2B+xz+%2B+yz+%21=+0\". Find all possible values of \"%28x%5E5%2By%5E5%2Bz%5E5%29%2F%28%28xyz%29%28xy%2Bxz%2Byz%29%29\".Enter all possible values, separated by commas.
\n" ); document.write( "I didn't know how to enter \"not equal to\" so I just put !, refers to not function in coding.
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Algebra.Com's Answer #779762 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Let x, y, z be nonzero real numbers such that \"x+%2B+y+%2B+z+=+0\",
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document.write( "\"x+%2B+y+%2B+z+=+0\"\r\n" );
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document.write( "\"z=-x-y\"\r\n" );
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document.write( "Substitute for z\r\n" );
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document.write( "Divide top and bottom by (x+y)\r\n" );
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document.write( "\"%28-5x%5E3y-5x%5E2y%5E2-5xy%5E3%29%2F%28xy%28x%5E2%2Bxy%2By%5E2%29%29\"\r\n" );
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document.write( "\"%28-5xy%28x%5E2%2Bxy%2By%5E2%29%29%2F%28xy%28x%5E2%2Bxy%2By%5E2%29%29\"\r\n" );
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document.write( "\"-5\"\r\n" );
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document.write( "So -5 is the only value it can have.\r\n" );
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document.write( "Edwin
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