document.write( "Question 241381: Can someone please tell me what I did wrong, IF I did indeed do anything wrong?\r
\n" ); document.write( "\n" ); document.write( "This is the equation:
\n" ); document.write( "(4x/x-2) = x+ (8/x-2)\r
\n" ); document.write( "\n" ); document.write( "This is what I did to get my answer:\r
\n" ); document.write( "\n" ); document.write( "(4x/x-2) = x+ (8/x-2)\r
\n" ); document.write( "\n" ); document.write( "4x = x(x-2) + 8\r
\n" ); document.write( "\n" ); document.write( "4x = \"+x%5E2+\" - 2x + 8
\n" ); document.write( "-4x -4x\r
\n" ); document.write( "\n" ); document.write( "\"+x%5E2+\" - 6x + 8\r
\n" ); document.write( "\n" ); document.write( "(x-4)(x-2)\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Your help would be greatly appreciate, as I desperately need it!\r
\n" ); document.write( "\n" ); document.write( "
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Algebra.Com's Answer #176805 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
It's not absolutly clear what you're doing,
\n" ); document.write( "although you have the right idea
\n" ); document.write( "\"4x%2F%28x-2%29+=+x+%2B+8%2F%28x-2%29\"
\n" ); document.write( "Multiply both sides by \"x-2\"
\n" ); document.write( "\"4x+=+x%2A%28x-2%29+%2B+8\"
\n" ); document.write( "\"4x+=+x%5E2+-+2x+%2B+8\"
\n" ); document.write( "\"x%5E2+-+6x+%2B+8+=+0\"
\n" ); document.write( "\"%28x+-+4%29%28x+-+2%29+=+0\"
\n" ); document.write( "The solutions are
\n" ); document.write( "\"x+=+4\"
\n" ); document.write( "\"x+=+2\"
\n" ); document.write( "These are the values that make the equation true
\n" ); document.write( "But the problem is that division by \"0\" is not
\n" ); document.write( "allowed, so \"x+=+2\" must be rejected
\n" ); document.write( "I'll test the \"x+=+4\" solution
\n" ); document.write( "\"4x%2F%28x-2%29+=+x+%2B+8%2F%28x-2%29\"
\n" ); document.write( "\"%284%2A4%29%2F%284-2%29+=+4+%2B+8%2F%284-2%29\"
\n" ); document.write( "\"16%2F2+=+4+%2B+8%2F2\"
\n" ); document.write( "\"8+=+4+%2B+4\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );