document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273701>Question 273701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Place the equation in standard form of an quadratic equation<BR>\n" );
document.write( "6+4/x-1=5/x-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199913 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=199913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Please use parentheses to group things so that we don't have to guess where your numerators and denominators end and the next term starts.  I presume that you meant:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 6\ +\ \frac{4}{x\,-\,1}\ =\ \frac{5}{x\,-\,3}\">\r<BR>\n" );
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document.write( "Multiply both sides by the common denominator which is the product of the two denominators.  Leave the common denominator in factored form until there are no more rational expressions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 6(x\,-\,1)(x\,-\,3)\ +\ \frac{4(x\,-\,1)(x\,-\,3)}{x\,-\,1}\ =\ \frac{5(x\,-\,1)(x\,-\,3)}{x\,-\,3}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 6(x\,-\,1)(x\,-\,3)\ +\ 4(x\,-\,3)\ =\ 5(x\,-\,1)\">\r<BR>\n" );
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document.write( "Now apply FOIL and the distributive property:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 6(x^2\ -\ 4x\ +\ 3)\ +\ 4x\ -\ 12\ =\ 5x\ -\ 5\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 6x^2\ -\ 24x\ +\ 18\ +\ 4x\ -\ 12\ =\ 5x\ -\ 5\">\r<BR>\n" );
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document.write( "Collect like terms on the left:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 6x^2\ -\ 25x\ +\ 11\ =\ 0\">\r<BR>\n" );
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document.write( "Done.\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" );
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