document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=311313>Question 311313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve x^2 - 2x = 24 by factoring. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #222647 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=222647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Starting from<BR>\n" );
document.write( "x^2 - 2x = 24 <BR>\n" );
document.write( "let's bring the 24 to the left side by subtracting 24 from both sides<BR>\n" );
document.write( "x^2 - 2x - 24 = 0<BR>\n" );
document.write( "Now set up your parentheses<BR>\n" );
document.write( "(   )(   ) = 0<BR>\n" );
document.write( "Since it begins with x^2, we know it must be<BR>\n" );
document.write( "(x  )(x  ) = 0<BR>\n" );
document.write( "Now look at the second sign.  It is a minus. That means our binomials have different signs...<BR>\n" );
document.write( "(x+ )(x- ) = 0<BR>\n" );
document.write( "Then we ask:  What are the factors of 24 that have a difference of 2?<BR>\n" );
document.write( "Well, 6 and 4, and since the middle term is minus 2x, the 6 goes to the negative term, and we get<BR>\n" );
document.write( "(x+4)(x-6) = 0<BR>\n" );
document.write( "If these multiply to make zero, then either must be zero, so that<BR>\n" );
document.write( "x = -4 and x = 6 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );