document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149528>Question 149528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> there is an error in this problem... can you tell me where it is?? =\<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "x(x-1) = 2(x-1)<BR>\n" );
document.write( "x^2-x  = 2x-2<BR>\n" );
document.write( "x^2-2x =  x-2<BR>\n" );
document.write( "x(x-2) =  x-2<BR>\n" );
document.write( "x=1\r<BR>\n" );
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document.write( "Thanks for you help.... jj </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109706 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It's the second to last step. The error that occurs is a division by zero. \r<BR>\n" );
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document.write( "If x=2, then x-2 is really 2-2=0\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2=0 ALIGN=MIDDLE  ALT=\"x-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-2%29=x-2 ALIGN=MIDDLE  ALT=\"x%28x-2%29=x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is really <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%280%29=0 ALIGN=MIDDLE  ALT=\"x%280%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "In this step, there is a division by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2 ALIGN=MIDDLE  ALT=\"x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-2%29%2F%28x-2%29=%28x-2%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"x%28x-2%29%2F%28x-2%29=%28x-2%29%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "However, since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2=0 ALIGN=MIDDLE  ALT=\"x-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means that this happens <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%280%29%2F%280%29=%280%29%2F%280%29 ALIGN=MIDDLE  ALT=\"x%280%29%2F%280%29=%280%29%2F%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But you <font size=4><b>cannot</b></font> divide by zero. So this is where the flaw occurs. This is a common fallacy in the \"proofs\" of odd statements like 1=2 or 0=1. Or in this case, you're \"proving\" that x=1=2. </SPAN>\n" );
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