document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=321707>Question 321707</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having a lot of trouble with this problem, and cannot get it to work out.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286%29%2F%28y-3%29%29-%28%282%29%2F%28y%29%29=%28%287y%2B3%29%2F%28y%5E2-9%29%29 ALIGN=MIDDLE  ALT=\"%28%286%29%2F%28y-3%29%29-%28%282%29%2F%28y%29%29=%28%287y%2B3%29%2F%28y%5E2-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "After going through several different methods I could think of, and each time getting a different and wrong answer, I still don't see how the answers of -1 and 6 are calculated.\r<BR>\n" );
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document.write( "From what I remember, the first thing is that (y-9)(y-9)(y) is the common denominator, and so all is multiplied by a factor of one in that form, canceling out all denominators, which would leave us with 6(y-3)(y) - 2(y-3)(y-3) = 7y+3(y)\r<BR>\n" );
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document.write( "This becomes -3y^2 - 9y - 18 = 0\r<BR>\n" );
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document.write( "And then -3(y^2 + 3y + 6) = 0\r<BR>\n" );
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document.write( "I cannot factor this, and so in using the quadratic formula I end up with a crazy number that is not the solution given on the practice test.\r<BR>\n" );
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document.write( "Any help in figuring out where I'm going wrong would be much appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230355 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=230355\">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( "You are sooooooo close...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{6}{y\,-\,3}\ -\ \frac{2}{y}\ =\ \frac{7y\,+\,3}{y^2\,-\,9}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{6}{y\,-\,3}\ -\ \frac{2}{y}\ -\ \frac{7y\,+\,3}{y^2\,-\,9}\ =\ 0\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(\frac{6}{y\,-\,3}\ -\ \frac{2}{y}\ -\ \frac{7y\,+\,3}{y^2\,-\,9}\right)\left(\frac{y(y\,-\,3)(y\,+\,3)}{y(y\,-\,3)(y\,+\,3)}\right)\ =\ 0\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{6y(y\,+\,3)\ -\ 2(y\,-\,3)(y\,+\,3)\ -\ (7y\ +\ 3)y}{y(y\,-\,3)(y\,+\,3)} =\ 0\">\r<BR>\n" );
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document.write( "And right there is your mistake.  Check the sign on the binomial factor in the first term of the numerator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 6y^2\ +\ 18y\ -\ 2y^2\ +\ 18\ -\ 7y^2\ -\ 3y\ =\ 0\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ -3y^2\ +\ 15y\ +\ 18\ =\ 0\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ -3\left(y^2\ -\ 5y\ -\ 6\right)\ =\ 0\">\r<BR>\n" );
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document.write( "And the quadratic factors...\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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