document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1004927>Question 1004927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation by the method of factoring.  Use the factoring technique ac method and solve following with the zero product rule. \r<BR>\n" );
document.write( "\n" );
document.write( "7x^2-29x=30 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621265 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=621265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Starting from 7x^2-29x=30, we get to<BR>\n" );
document.write( "7x^2 - 29x - 30 = 0<BR>\n" );
document.write( "We need factors of 7(30) = 210 that have a difference of 29...<BR>\n" );
document.write( "Those factors are 6 and 35...so we lay out the binomial factors<BR>\n" );
document.write( "(7x + 6)(x - 5) = 0<BR>\n" );
document.write( "and solving this we get<BR>\n" );
document.write( "7x + 6 = 0<BR>\n" );
document.write( "and x = -6/7<BR>\n" );
document.write( "x - 5 = 0<BR>\n" );
document.write( "and x = 5 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );