document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=235768>Question 235768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (x-3)(x+7)-(x+1)(x+5)=0<BR>\n" );
document.write( "solve for x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173600 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><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=173600\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28X-3%29%2A%28X%2B7%29%29+-+%28%28X%2B1%29%2A%28X%2B5%29%29+=+0 ALIGN=MIDDLE  ALT=\"%28%28X-3%29%2A%28X%2B7%29%29+-+%28%28X%2B1%29%2A%28X%2B5%29%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Basically you have 2 problems in 1<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "For now lets just look at the first part of the problem<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28X-3%29%2A%28X%2B7%29%29 ALIGN=MIDDLE  ALT=\"%28%28X-3%29%2A%28X%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This can be rewritten using the FOIL method.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28X%5E2%2B7X-3X-21%29 ALIGN=MIDDLE  ALT=\"%28X%5E2%2B7X-3X-21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28X%5E2%2B4X-21%29 ALIGN=MIDDLE  ALT=\"%28X%5E2%2B4X-21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now lets look at the second section<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28X%2B1%29%2A%28X%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28%28X%2B1%29%2A%28X%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This can also be rewritten using the FOIL method<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28X%5E2%2B5X%2B1X%2B5%29 ALIGN=MIDDLE  ALT=\"%28X%5E2%2B5X%2B1X%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28X%5E2%2B6X%2B5%29 ALIGN=MIDDLE  ALT=\"%28X%5E2%2B6X%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now plug our simplified equations into the given equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28X-3%29%2A%28X%2B7%29%29+-+%28%28X%2B1%29%2A%28X%2B5%29%29+=+0 ALIGN=MIDDLE  ALT=\"%28%28X-3%29%2A%28X%2B7%29%29+-+%28%28X%2B1%29%2A%28X%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=%28X%5E2%2B4X-21%29-%28X%5E2%2B6X%2B5%29+=+0 ALIGN=MIDDLE  ALT=\"%28X%5E2%2B4X-21%29-%28X%5E2%2B6X%2B5%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice that the second part of the equation has a negative sign in front of it.  That means that we have to swith the signs of everything inside the brackets.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%5E2%2B4X-21-X%5E2-6X-5+=+0 ALIGN=MIDDLE  ALT=\"X%5E2%2B4X-21-X%5E2-6X-5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2X-26+=+0 ALIGN=MIDDLE  ALT=\"-2X-26+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 2X to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-26+=+2X ALIGN=MIDDLE  ALT=\"-26+=+2X\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-13+=+X ALIGN=MIDDLE  ALT=\"-13+=+X\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Check you answer:<BR>\n" );
document.write( "Plug -13 in for X in the given equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28X-3%29%2A%28X%2B7%29%29+-+%28%28X%2B1%29%2A%28X%2B5%29%29+=+0 ALIGN=MIDDLE  ALT=\"%28%28X-3%29%2A%28X%2B7%29%29+-+%28%28X%2B1%29%2A%28X%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%28-13-3%29%2A%28-13%2B7%29%29+-+%28%28-13%2B1%29%2A%28-13%2B5%29%29+=+0 ALIGN=MIDDLE  ALT=\"%28%28-13-3%29%2A%28-13%2B7%29%29+-+%28%28-13%2B1%29%2A%28-13%2B5%29%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-16%29%2A%28-6%29%29+-+%28%28-12%29%2A%28-8%29%29+=+0 ALIGN=MIDDLE  ALT=\"%28%28-16%29%2A%28-6%29%29+-+%28%28-12%29%2A%28-8%29%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96+-+96+=+0 ALIGN=MIDDLE  ALT=\"96+-+96+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+0 ALIGN=MIDDLE  ALT=\"0+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );