document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=269446>Question 269446</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to factor and solve by using the principle of zero theory\r<BR>\n" );
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document.write( "(x+3)(x-9)= -13  \r<BR>\n" );
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document.write( "Please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197484 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=197484\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here is the original problem<BR>\n" );
document.write( "(i) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%28x-9%29=+-13+ ALIGN=MIDDLE  ALT=\"%28x%2B3%29%28x-9%29=+-13+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 1 - foil out the left side to get<BR>\n" );
document.write( "(ii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+6x+-+27+=+-13 ALIGN=MIDDLE  ALT=\"x%5E2+-+6x+-+27+=+-13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 2 - set the equation = 0 to get<BR>\n" );
document.write( "(iii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+6x+-+14+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+6x+-+14+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 3 - factor if possible. IN this case, we cannot apply our factoring steps as usual, so we must use the quadratic as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%286+%2B-+sqrt%2836-4%2A1%2A%28-14%29%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%286+%2B-+sqrt%2836-4%2A1%2A%28-14%29%29%29%2F%282%29\"   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=x+=+%286+%2B-+sqrt%2892%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%286+%2B-+sqrt%2892%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%286+%2B-+2sqrt%2823%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%286+%2B-+2sqrt%2823%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "finally<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3+%2B-+sqrt%2823%29 ALIGN=MIDDLE  ALT=\"x+=+3+%2B-+sqrt%2823%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );