document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473539>Question 473539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear math teacher, \r<BR>\n" );
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document.write( "Would you please help me solve this problem? \r<BR>\n" );
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document.write( "Find n if <BR>\n" );
document.write( "3times {(2n+4)Permutation3} = 2times {(n+4)Permutation4}\r<BR>\n" );
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document.write( "Here is what I got: <BR>\n" );
document.write( "3 times (2n+4) times (2n+3) times (2n+2) = 2 times (n+4) times (n+3) times (n+2) times (n+1)\r<BR>\n" );
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document.write( "But then I am not sure how to isolate n on one side of the equation to solve for it.  The correct answer is: 6. \r<BR>\n" );
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document.write( "Thank you very much for your time and effort in helping me with my homework. \r<BR>\n" );
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document.write( "I.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324774 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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/cgi-bin/show-face.mpl?user=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=324774\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Looks good so far!<BR>\n" );
document.write( "To isolate n you need to multiply everything out, then simplify by adding like terms<BR>\n" );
document.write( "You should end up with a 4th degree polynomial:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E4+-+2n%5E3+-+19n%5E2+-+28n+-+12+=+0 ALIGN=MIDDLE  ALT=\"n%5E4+-+2n%5E3+-+19n%5E2+-+28n+-+12+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now n must be a positive integer because we are dealing with a permutation.<BR>\n" );
document.write( "Use synthetic division to try to factor out a factor of 12.<BR>\n" );
document.write( "Try 1,2,3,4,6,12 these are the only possible solutions.<BR>\n" );
document.write( "If you get a zero remainder then its the solution. </SPAN>\n" );
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