document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29636>Question 29636</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3d-7    -    3d-2      <BR>\n" );
document.write( "_____        _____<BR>\n" );
document.write( "  2d    -    3d squared </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16507 by </B><A HREF=/tutors/aboutme.mpl?userid=Cintchr><B>Cintchr(481)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cintchr><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=16507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am reading this problem as ....<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283d-7%29%2F%282d%29+=+%283d-2%29%2F%283d%5E2%29+ ALIGN=MIDDLE  ALT=\"+%283d-7%29%2F%282d%29+=+%283d-2%29%2F%283d%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283d%5E2%29%283d-7%29+=+%282d%29%283d-2%29+ ALIGN=MIDDLE  ALT=\"+%283d%5E2%29%283d-7%29+=+%282d%29%283d-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "distribute<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9d%5E3+-+21d%5E2+=+6d%5E2+-+4d+ ALIGN=MIDDLE  ALT=\"+9d%5E3+-+21d%5E2+=+6d%5E2+-+4d+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "move everything to the left<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9d%5E3+-+21d%5E2+-+6d%5E2+%2B+4d+=+0+ ALIGN=MIDDLE  ALT=\"+9d%5E3+-+21d%5E2+-+6d%5E2+%2B+4d+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9d%5E3+-+27d%5E2+%2B+4d+=+0+ ALIGN=MIDDLE  ALT=\"+9d%5E3+-+27d%5E2+%2B+4d+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "since the power is cubed, there will be 3 solutions.<BR>\n" );
document.write( "for the first, factor out a d<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%289d%5E2+-+27d+%2B+4%29+=+0+ ALIGN=MIDDLE  ALT=\"+d%289d%5E2+-+27d+%2B+4%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the first solution is d=0<BR>\n" );
document.write( "the trinomial can not be factored.  Use the quadratic formula to solve.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 9     <BR>\n" );
document.write( "b = -27    <BR>\n" );
document.write( "c = 4<BR>\n" );
document.write( "substitute these numbers into the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-27%29+%2B-+sqrt%28+%28-27%29%5E2-4%2A9%2A4+%29%29%2F%282%2A9%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-27%29+%2B-+sqrt%28+%28-27%29%5E2-4%2A9%2A4+%29%29%2F%282%2A9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2827%29+%2B-+sqrt%28+%28+729-144+%29%29%2F%2818%29+ ALIGN=MIDDLE  ALT=\"x+=+%2827%29+%2B-+sqrt%28+%28+729-144+%29%29%2F%2818%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplify again<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2827%29+%2B-+sqrt%28+%28+585+%29%29%2F%2818%29+ ALIGN=MIDDLE  ALT=\"x+=+%2827%29+%2B-+sqrt%28+%28+585+%29%29%2F%2818%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "root out 585<BR>\n" );
document.write( "585 = 3*3*5*13<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28+585%29+=+3%2Asqrt%2865%29+ ALIGN=MIDDLE  ALT=\"+sqrt%28+585%29+=+3%2Asqrt%2865%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the + and - make for the 2 other solutions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2827+%2B-+3%2Asqrt%2865%29%29%2F%2818%29+ ALIGN=MIDDLE  ALT=\"x+=+%2827+%2B-+3%2Asqrt%2865%29%29%2F%2818%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "reduce all cofficients by dividing each by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%289+%2B-+1%2Asqrt%2865%29%29%2F%286%29+ ALIGN=MIDDLE  ALT=\"x+=+%289+%2B-+1%2Asqrt%2865%29%29%2F%286%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Those are your 3 answers\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );