document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=722944>Question 722944</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Expand and factor the expression x(x&#8722;1)&#8722;30.<BR>\n" );
document.write( "(b) Solve the equation x(x&#8722;1)=30. If there is more than one correct answer, enter your answers as a comma separated list. If there are no answers, enter NONE.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #442955 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=442955\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( "(1) x*(x-1)-30 = 0 which expands to<BR>\n" );
document.write( "(2) x^2 -x -30 = 0 which factors into<BR>\n" );
document.write( "(3) (x-6)*(x+5) = 0<BR>\n" );
document.write( "The roots of (3) are the solution to the equation<BR>\n" );
document.write( "(4) x = (-5,6)<BR>\n" );
document.write( "Let's check the solution using (1).<BR>\n" );
document.write( "Is (-5*(-5-1)-30 = 0)?<BR>\n" );
document.write( "Is (-5*(-6)-30 = 0)?<BR>\n" );
document.write( "Is (30 - 30 = 0)?<BR>\n" );
document.write( "Is (0 = 0)? Yes<BR>\n" );
document.write( "Is (6*(6-1)-30 = 0)?<BR>\n" );
document.write( "Is (6*5 - 30 = 0)?<BR>\n" );
document.write( "Is (30 - 30 = 0)?<BR>\n" );
document.write( "Is (0 = 0)? Yes<BR>\n" );
document.write( "Answer: The solution set is {-5,6} </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );