document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207635>Question 207635</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321269470/algebrahomeworkh>Introductory Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283a-5%29%2F%28a%5E2%2B4a%2B3%29 ALIGN=MIDDLE  ALT=\"%283a-5%29%2F%28a%5E2%2B4a%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282a%2B2%29%2F%28a%2B3%29 ALIGN=MIDDLE  ALT=\"%282a%2B2%29%2F%28a%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-3%29%2F%28a%2B1%29 ALIGN=MIDDLE  ALT=\"%28a-3%29%2F%28a%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
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 #157088 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=157088\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283a-5%29%2F%28a%5E2%2B4a%2B3%29%2B%282a%2B2%29%2F%28a%2B3%29=%28a-3%29%2F%28a%2B1%29 ALIGN=MIDDLE  ALT=\"%283a-5%29%2F%28a%5E2%2B4a%2B3%29%2B%282a%2B2%29%2F%28a%2B3%29=%28a-3%29%2F%28a%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2%2B4a%2B3%29 ALIGN=MIDDLE  ALT=\"%28a%5E2%2B4a%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors out to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B3%29%2A%28a%2B1%29 ALIGN=MIDDLE  ALT=\"%28a%2B3%29%2A%28a%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > so your equation becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283a-5%29%2F%28%28a%2B3%29%2A%28a%2B1%29%29%2B%282a%2B2%29%2F%28a%2B3%29=%28a-3%29%2F%28a%2B1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----<BR>\n" );
document.write( "if you multiply both sides of the equation by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B3%29%2A%28a%2B1%29 ALIGN=MIDDLE  ALT=\"%28a%2B3%29%2A%28a%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > you will get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283a-5%29%2B%282a%2B2%29%2A%28a%2B1%29=%28a-3%29%28a%2B3%29 ALIGN=MIDDLE  ALT=\"%283a-5%29%2B%282a%2B2%29%2A%28a%2B1%29=%28a-3%29%28a%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----<BR>\n" );
document.write( "if you simplify this you get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283a-5%29%2B2a%5E2+%2B+4a+%2B+2=a%5E2+-+9 ALIGN=MIDDLE  ALT=\"%283a-5%29%2B2a%5E2+%2B+4a+%2B+2=a%5E2+-+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if you subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+9 ALIGN=MIDDLE  ALT=\"a%5E2+-+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides of the equation you get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a-5%2B2a%5E2+%2B+4a+%2B+2+-a%5E2+%2B+9=0 ALIGN=MIDDLE  ALT=\"3a-5%2B2a%5E2+%2B+4a+%2B+2+-a%5E2+%2B+9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if you combine like terms  you get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2B7a%2B6=0 ALIGN=MIDDLE  ALT=\"a%5E2%2B7a%2B6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this factors out to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B1%29%2A%28a%2B6%29+=+0 ALIGN=MIDDLE  ALT=\"%28a%2B1%29%2A%28a%2B6%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+=+-1 ALIGN=MIDDLE  ALT=\"a+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-6 ALIGN=MIDDLE  ALT=\"a+=+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----<BR>\n" );
document.write( "when we substitute a = -1 in the original equation we get a division by 0 so a = -1 is no good.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "when we substitute a = -6 in the original equation we get (27) = (27) so a = -6 is good.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "computations for a = -6 are as follows:<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283a-5%29%2F%28a%5E2%2B4a%2B3%29%2B%282a%2B2%29%2F%28a%2B3%29=%28a-3%29%2F%28a%2B1%29 ALIGN=MIDDLE  ALT=\"%283a-5%29%2F%28a%5E2%2B4a%2B3%29%2B%282a%2B2%29%2F%28a%2B3%29=%28a-3%29%2F%28a%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-18-5%29%2F%2836-24%2B3%29%2B%28-12%2B2%29%2F%28-6%2B3%29=%28-6-3%29%2F%28-6%2B1%29 ALIGN=MIDDLE  ALT=\"%28-18-5%29%2F%2836-24%2B3%29%2B%28-12%2B2%29%2F%28-6%2B3%29=%28-6-3%29%2F%28-6%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-23%29%2F%2815%29%2B%28-10%29%2F%28-3%29=%28-9%29%2F%28-5%29 ALIGN=MIDDLE  ALT=\"%28-23%29%2F%2815%29%2B%28-10%29%2F%28-3%29=%28-9%29%2F%28-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if we multiply both sides of the equation by 15 we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-23%29%2B%2850%29=%2827%29 ALIGN=MIDDLE  ALT=\"%28-23%29%2B%2850%29=%2827%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2827%29=%2827%29 ALIGN=MIDDLE  ALT=\"%2827%29=%2827%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );