document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193641>Question 193641</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please show me how to solve this: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+-%28a-5%29%2F%28a%2B5%29+=+%28a%5E2-15%29%2F%28a%2B5%29+ ALIGN=MIDDLE  ALT=\"3+-%28a-5%29%2F%28a%2B5%29+=+%28a%5E2-15%29%2F%28a%2B5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you in advance for your efforts.\r<BR>\n" );
document.write( "\n" );
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 #145335 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=145335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for a:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-%28%28a-5%29%2F%28a%2B5%29%29+=+%28a%5E2-15%29%2F%28a%2B5%29 ALIGN=MIDDLE  ALT=\"3-%28%28a-5%29%2F%28a%2B5%29%29+=+%28a%5E2-15%29%2F%28a%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%28a%2B5%29-%28a-5%29%29%2F%28a%2B5%29+=+%28a%5E2-15%29%2F%28a%2B5%29 ALIGN=MIDDLE  ALT=\"%283%28a%2B5%29-%28a-5%29%29%2F%28a%2B5%29+=+%28a%5E2-15%29%2F%28a%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=%283a%2B15-a%2B5%29%2F%28a%2B5%29+=+%28a%5E2-15%29%2F%28a%2B5%29 ALIGN=MIDDLE  ALT=\"%283a%2B15-a%2B5%29%2F%28a%2B5%29+=+%28a%5E2-15%29%2F%28a%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=%282a%2B20%29%2F%28a%2B5%29+=+%28a%5E2-15%29%2F%28a%2B5%29 ALIGN=MIDDLE  ALT=\"%282a%2B20%29%2F%28a%2B5%29+=+%28a%5E2-15%29%2F%28a%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by (a+5).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%2B20+=+a%5E2-15 ALIGN=MIDDLE  ALT=\"2a%2B20+=+a%5E2-15\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange this to form a quadratic equation in standard form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2-2a-35+=+0 ALIGN=MIDDLE  ALT=\"a%5E2-2a-35+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-7%29%28a%2B5%29+=+0 ALIGN=MIDDLE  ALT=\"%28a-7%29%28a%2B5%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=a+=+7 ALIGN=MIDDLE  ALT=\"a+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-5 ALIGN=MIDDLE  ALT=\"a+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > But...if we substitute a = -5 into the original equation then we have division by zero which, of course, is a no-no! So a = -5 is and excluded solution.<BR>\n" );
document.write( "The acceptable solution is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a+=+7%29 ALIGN=MIDDLE  ALT=\"highlight%28a+=+7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );