document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=240675>Question 240675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve this following problem for P?\r<BR>\n" );
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document.write( "P - (PD) = N </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176316 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=176316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p - (pd) = n\r<BR>\n" );
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document.write( "this is equivalent to:\r<BR>\n" );
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document.write( "p - (p*d) = n\r<BR>\n" );
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document.write( "factor out the p to get:\r<BR>\n" );
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document.write( "p*(1-d) = n\r<BR>\n" );
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document.write( "divide both sides by (1-d) to get:\r<BR>\n" );
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document.write( "p = n/(1-d)\r<BR>\n" );
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document.write( "go back to your original equation and replace p with n/(1-d) and you should get an identity equation.\r<BR>\n" );
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document.write( "your equation is:\r<BR>\n" );
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document.write( "p - pd = n\r<BR>\n" );
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document.write( "substitute n/(1-d) for p to get:\r<BR>\n" );
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document.write( "n/(1-d) - (n/(1-d)*d = n\r<BR>\n" );
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document.write( "multiply both sides of the equation by (n-d) to get:\r<BR>\n" );
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document.write( "n - n*d = n*(1-d)\r<BR>\n" );
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document.write( "remove parentheses to get:\r<BR>\n" );
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document.write( "n - n*d = n - n*d\r<BR>\n" );
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document.write( "that's your identity equation so the value you calculated for p is good.\r<BR>\n" );
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document.write( "another way to check is the let n = any number and d equal any number and solve for p.\r<BR>\n" );
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document.write( "let n = 2 and d = 3\r<BR>\n" );
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document.write( "p = n/(1-d) becomes p = 2/(-2) = -1\r<BR>\n" );
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document.write( "substitute for p = -1 and n = 2 and d = 3 in your original equation.\r<BR>\n" );
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document.write( "p - (pd) = n becomes:\r<BR>\n" );
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document.write( "-1 - (-1*3) = 2 which becomes -1 - (-3) = 2 which becomes -1 + 3 = 2 which becomes 2 = 2 which is true so the value for p is good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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