document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171583>Question 171583</A>: <I><SPAN STYLE=\"word-break: break-all;\">   I need help solving this quadratic equation by factoring:<BR>\n" );
document.write( "       t(3t+1)=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126729 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=126729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> t(3t+1)=2<BR>\n" );
document.write( "expanding the left:<BR>\n" );
document.write( "3t^2 + t = 2<BR>\n" );
document.write( "moving everything to the left, by subtracting 2 from both sides:<BR>\n" );
document.write( "3t^2 + t - 2 = 0<BR>\n" );
document.write( "Now, factor:<BR>\n" );
document.write( "(3t-2)(t+1) = 0<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Set each term to zero:<BR>\n" );
document.write( "3t-2 = 0<BR>\n" );
document.write( "3t = 2<BR>\n" );
document.write( "t = 2/3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "t+1 = 0<BR>\n" );
document.write( "t = -1<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Therefore, your solution set is:<BR>\n" );
document.write( "t = {-1, 2/3} </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );