document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=592763>Question 592763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the solution set of the equation?\r<BR>\n" );
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document.write( "3x-9       -3x <BR>\n" );
document.write( "-----  =   ----<BR>\n" );
document.write( "x-3         2\r<BR>\n" );
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document.write( "When I worked this problem out, I got {-3, 2} <BR>\n" );
document.write( "But the answer is {-2} I don't understand how they got that.<BR>\n" );
document.write( "My work:\r<BR>\n" );
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document.write( "3x-9 *(2) = -3x * x-3<BR>\n" );
document.write( "----        -----<BR>\n" );
document.write( "x-3           2\r<BR>\n" );
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document.write( "6x -18       -3x^2 +9x<BR>\n" );
document.write( "-------   = -----------<BR>\n" );
document.write( "(x-3)(2)      (2)(x-3)\r<BR>\n" );
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document.write( "(Subtract 6x -18 to get it on one side.)\r<BR>\n" );
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document.write( "-3x^2 +9x -6x -18<BR>\n" );
document.write( "-----------------   SIGN ERROR S/B +18<BR>\n" );
document.write( " (x-3)(2)\r<BR>\n" );
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document.write( "Combine like terms\r<BR>\n" );
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document.write( "-3x^2 +3x -18<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "  (x-3)(2)\r<BR>\n" );
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document.write( "(Factor)\r<BR>\n" );
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document.write( "(-3)(-18) =54\r<BR>\n" );
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document.write( "-3x^2 -6x +9x-18<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "(x-3)(2)\r<BR>\n" );
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document.write( "3x(x-2) 9(x-2) \r<BR>\n" );
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document.write( "(3x+9)(x-2)\r<BR>\n" );
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document.write( "3x+9=0<BR>\n" );
document.write( "   -9  -9\r<BR>\n" );
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document.write( "3x=-9<BR>\n" );
document.write( "/3  /3\r<BR>\n" );
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document.write( "x=-3\r<BR>\n" );
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document.write( "x-2=0<BR>\n" );
document.write( " +2\r<BR>\n" );
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document.write( "x=2\r<BR>\n" );
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document.write( "I really don't understand how to solve this.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #376076 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=376076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "You went to way more trouble than was necessary, and then made algebra errors in the process.  See annotation in your problem statement.  If you take it from there, it works out correctly.  However, it would have been much easier had you first factored the LHS numerator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{3x\ -\ 9}{x\ -\ 3}\ =\ \frac{-3x}{2}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{3(x\ -\ 3)}{x\ -\ 3}\ =\ \frac{-3x}{2}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 3\ =\ \frac{-3x}{2}\">\r<BR>\n" );
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document.write( "Solve from there.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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