document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035556>Question 1035556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! I've tried solving this problem multiple times but I'm not sure if I've gotten the right answer or if I was doing it right. \r<BR>\n" );
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document.write( "Solve: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287x%2B1%29%2F%28x%5E2-8x%2B15%29%2B3x%2F%28x-5%29=-1%2F%28x-3%29 ALIGN=MIDDLE  ALT=\"%287x%2B1%29%2F%28x%5E2-8x%2B15%29%2B3x%2F%28x-5%29=-1%2F%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is my work: First off, I marked that x cannot equal 5 or 3, because of how(x-3) and (x-5) are in the denominator and I can't have 0 in the denominator. I turned it into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287x%2B1%29%2F%28x-5%29%28x-3%29%2B3x%2F%28x-5%29=-1%28x-3%29 ALIGN=MIDDLE  ALT=\"%287x%2B1%29%2F%28x-5%29%28x-3%29%2B3x%2F%28x-5%29=-1%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > I noticed that after I factored out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-8x%2B15 ALIGN=MIDDLE  ALT=\"x%5E2-8x%2B15\"   DISABLED_style= \"max-width:90%; height:auto;\" > I could rationalize the denominator to (x-5)(x-3) by multiplying 3x/(x-5) with (x-3) and -1/(x-3) with (x-5) and cancel it all out to just end up with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287x%2B1%29%2B3x%28x-3%29=-1%28x-5%29 ALIGN=MIDDLE  ALT=\"%287x%2B1%29%2B3x%28x-3%29=-1%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Next, I simplified it down to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B1%2B3x%5E2-9x=-x%2B5 ALIGN=MIDDLE  ALT=\"7x%2B1%2B3x%5E2-9x=-x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-x-4=0 ALIGN=MIDDLE  ALT=\"3x%5E2-x-4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. I didn't know if I could factor it out anymore mentally, so I chose my safest bet which was using the quadratic formula to get x=4/3 and x=-1. Those two answers would work because it's not 5 or 3 (because then it would equal 0). Am I right? Or did I do something wrong? I hope I was clear enough and I would really appreciate the help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650195 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650195\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> duplicate </SPAN>\n" );
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