document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173196>Question 173196</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;\"> Solve by factoring and using the principle of zero products.\r<BR>\n" );
document.write( "\n" );
document.write( "18d^2 + 30d + 12 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128037 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=128037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by factoring:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18d%5E2%2B30d%2B12+=+0 ALIGN=MIDDLE  ALT=\"18d%5E2%2B30d%2B12+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > First factor 3 from the trinomial.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%283d%5E2%2B5d%2B2%29+=+0 ALIGN=MIDDLE  ALT=\"6%283d%5E2%2B5d%2B2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so that you now have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3d%5E2%2B5d%2B2+=+0 ALIGN=MIDDLE  ALT=\"3d%5E2%2B5d%2B2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now factor the trinomial.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283d%2B2%29%28d%2B1%29+=+0 ALIGN=MIDDLE  ALT=\"%283d%2B2%29%28d%2B1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now apply the zero product rule.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3d%2B2+=+0 ALIGN=MIDDLE  ALT=\"3d%2B2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2B1+=+0 ALIGN=MIDDLE  ALT=\"d%2B1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3d%2B2+=+0 ALIGN=MIDDLE  ALT=\"3d%2B2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3d+=+-2 ALIGN=MIDDLE  ALT=\"3d+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+-2%2F3 ALIGN=MIDDLE  ALT=\"d+=+-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=If+d%2B1+=+0 ALIGN=MIDDLE  ALT=\"If+d%2B1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+-1 ALIGN=MIDDLE  ALT=\"d+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The solution is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d+=+-2%2F3%29 ALIGN=MIDDLE  ALT=\"highlight%28d+=+-2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d+=+-1%29 ALIGN=MIDDLE  ALT=\"highlight%28d+=+-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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