document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206737>Question 206737</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh>Elementary and Intermediate</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 3x(2x+1)=18  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156257 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=156257\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x(2x+1)=18<BR>\n" );
document.write( "distributing the 3x to terms inside parenthesis:<BR>\n" );
document.write( "6x^2 + 3x = 18<BR>\n" );
document.write( "dividing both sides by 3:<BR>\n" );
document.write( "2x^2 + x = 6<BR>\n" );
document.write( "2x^2 + x - 6 = 0<BR>\n" );
document.write( "factoring the left side:<BR>\n" );
document.write( "(2x-3)(x+2) = 0<BR>\n" );
document.write( "Solving for x:<BR>\n" );
document.write( "x = {3/2, -2} </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );