document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=383392>Question 383392</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help solving/factoring this rational equation:\r<BR>\n" );
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document.write( "{(7x+1)/(2x+5)} +1 = {(10x-3)/3x}\r<BR>\n" );
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document.write( "I was able to get it to 7x2 - 26x + 15 = 0 but from there I'm unable to factor to solve for x.\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #271490 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=271490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use a common denominator, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%282x%2B5%29 ALIGN=MIDDLE  ALT=\"3x%282x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287x%2B1%29%2F%282x%2B5%29=%28%287x%2B1%29%283x%29%29%2F%283x%282x%2B5%29%29 ALIGN=MIDDLE  ALT=\"%287x%2B1%29%2F%282x%2B5%29=%28%287x%2B1%29%283x%29%29%2F%283x%282x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=%28%283x%29%282x%2B5%29%29%2F%283x%282x%2B5%29%29 ALIGN=MIDDLE  ALT=\"1=%28%283x%29%282x%2B5%29%29%2F%283x%282x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810x-3%29%2F%283x%29=%28%2810x-3%29%282x%2B5%29%29%2F%283x%282x%2B5%29%29 ALIGN=MIDDLE  ALT=\"%2810x-3%29%2F%283x%29=%28%2810x-3%29%282x%2B5%29%29%2F%283x%282x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%287x%2B1%29%2F%282x%2B5%29%29+%2B1+=+%28%2810x-3%29%2F3x%29 ALIGN=MIDDLE  ALT=\"%28%287x%2B1%29%2F%282x%2B5%29%29+%2B1+=+%28%2810x-3%29%2F3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%287x%2B1%29%283x%29%29%2F%283x%282x%2B5%29%29%2B%28%283x%29%282x%2B5%29%29%2F%283x%282x%2B5%29%29=%28%2810x-3%29%282x%2B5%29%29%2F%283x%282x%2B5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%287x%2B1%29%283x%29%29%2F%283x%282x%2B5%29%29%2B%28%283x%29%282x%2B5%29%29%2F%283x%282x%2B5%29%29-%28%2810x-3%29%282x%2B5%29%29%2F%283x%282x%2B5%29%29=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%287x%2B1%29%283x%29%2B%283x%29%282x%2B5%29-%2810x-3%29%282x%2B5%29%29%2F%283x%282x%2B5%29%29=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2821x%5E2%2B3x%29%2B%286x%5E2%2B15x%29-%2820x%5E2%2B50x-6x-15%29%29%2F%283x%282x%2B5%29%29=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2821x%5E2%2B6x%5E2-20x%5E2%29%2B%283x%2B15x-44x%29%2B15%29%2F%283x%282x%2B5%29%29=0 ALIGN=MIDDLE  ALT=\"%28%2821x%5E2%2B6x%5E2-20x%5E2%29%2B%283x%2B15x-44x%29%2B15%29%2F%283x%282x%2B5%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287x%5E2-26x%2B15%29%2F%283x%282x%2B5%29%29=0 ALIGN=MIDDLE  ALT=\"%287x%5E2-26x%2B15%29%2F%283x%282x%2B5%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%287x-5%29%28x-3%29%29%2F%283x%282x%2B5%29%29=0 ALIGN=MIDDLE  ALT=\"%28%287x-5%29%28x-3%29%29%2F%283x%282x%2B5%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The left hand side equals zero where the numerator equals zero.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287x-5%29%28x-3%29=0 ALIGN=MIDDLE  ALT=\"%287x-5%29%28x-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x-5=0 ALIGN=MIDDLE  ALT=\"7x-5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x=5 ALIGN=MIDDLE  ALT=\"7x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=5%2F7%29 ALIGN=MIDDLE  ALT=\"highlight%28x=5%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3=0 ALIGN=MIDDLE  ALT=\"x-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=3%29 ALIGN=MIDDLE  ALT=\"highlight%28x=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );