document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028556>Question 1028556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturing company manufactures a cardboard box with a square base and a <BR>\n" );
document.write( "height of 15 inches. Suppose the equation, the equation is <BR>\n" );
document.write( "x^2+60x-7,200=0  can be used to find the <BR>\n" );
document.write( "length and width of the base of the box, each measuring x inches. \r<BR>\n" );
document.write( "\n" );
document.write( "Use the zero product property to solve the equation. Show all the steps needed <BR>\n" );
document.write( "to find both answers. \r<BR>\n" );
document.write( "\n" );
document.write( "c. Explain how the solution relates to this situation. \r<BR>\n" );
document.write( "\n" );
document.write( "Can somebody guide me step by step, I can't seem to get it or get the right answer<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643640 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643640\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what does ,200=0 mean?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I think the equation is<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x^2 +60x -7200 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "we need to determine the prime factors of 7200<BR>\n" );
document.write( ":<BR>\n" );
document.write( "7200 = 2^5 * 3^2 * 5^2<BR>\n" );
document.write( ": <BR>\n" );
document.write( "using the prime factors, we want to construct two factors of 7200 that differ by 60<BR>\n" );
document.write( ":<BR>\n" );
document.write( "60 = 2^2 * 3 * 5<BR>\n" );
document.write( "120 = 2^3 * 3 * 5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(x+120) * (x-60) = x^2 +60x -7200 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(x+120) * (x-60) = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x is -120 or 60<BR>\n" );
document.write( ":<BR>\n" );
document.write( "measurements are positive, so we will use 60<BR>\n" );
document.write( ":<BR>\n" );
document.write( "**************************************************<BR>\n" );
document.write( "the length and width of the box are both 60 inches<BR>\n" );
document.write( "**************************************************<BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );