document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037502>Question 1037502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am checking my work to the problem below:\r<BR>\n" );
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document.write( "find all real solutions to the quadratic equation; 6p+2=p^2+3p^3\r<BR>\n" );
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document.write( "6p+2=p^2+3p^3<BR>\n" );
document.write( "6p+2=3p^3+p^2<BR>\n" );
document.write( "6p+2&#8722;(3p^3+p^2)=3p^3+p^2&#8722;(3p^3+p^2)<BR>\n" );
document.write( "&#8722;3p^3&#8722;p^2+6p+2=0<BR>\n" );
document.write( "(&#8722;3p&#8722;1)(p^2&#8722;2)=0<BR>\n" );
document.write( "&#8722;3p&#8722;1=0 or p^2&#8722;2=0<BR>\n" );
document.write( "p= -1/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #652127 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=652127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rearrangement should be as  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3p%5E3%2Bp%5E2-6p-2=0 ALIGN=MIDDLE  ALT=\"3p%5E3%2Bp%5E2-6p-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Some other arrangement might allow easier factoring.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%5E2%29%283p%2B1%29-%286p%2B2%29=0 ALIGN=MIDDLE  ALT=\"%28p%5E2%29%283p%2B1%29-%286p%2B2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283p%2B1%29p%5E2-2%283p%2B1%29=0 ALIGN=MIDDLE  ALT=\"%283p%2B1%29p%5E2-2%283p%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283p%2B1%29%28p%5E2-2%29=0 ALIGN=MIDDLE  ALT=\"%283p%2B1%29%28p%5E2-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "ZERO PRODUCT RULE<BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3p%2B1=0 ALIGN=MIDDLE  ALT=\"3p%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p=-1%2F3%29 ALIGN=MIDDLE  ALT=\"highlight%28p=-1%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-2=0 ALIGN=MIDDLE  ALT=\"p%5E2-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2=2 ALIGN=MIDDLE  ALT=\"p%5E2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p=-sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"highlight%28p=-sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p=sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"highlight%28p=sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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