document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029278>Question 1029278</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Derrick is thinking of a negative integer. When he multiples the integer by itself and then adds three times the integer to the product, he gets 180. What is Derricks intger </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644334 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=644334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let us call it x.  Then we write<BR>\n" );
document.write( "x*x + 3x = 180<BR>\n" );
document.write( "Now let's solve it, remembering that we want the negative value for x...<BR>\n" );
document.write( "x^2 + 3x - 180 = 0<BR>\n" );
document.write( "Now factor it...<BR>\n" );
document.write( "(x + 15)(x - 12) = 0<BR>\n" );
document.write( "so that<BR>\n" );
document.write( "x = -15  or x = 12<BR>\n" );
document.write( "So we want the negative one, so<BR>\n" );
document.write( "Derrick's integer is -15. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );