document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=544740>Question 544740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 24y^2+2y-2=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355203 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=355203\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 24y^2+2y-2 = 0\r<BR>\n" );
document.write( "\n" );
document.write( "Divide every term by 2.\r<BR>\n" );
document.write( "\n" );
document.write( "2(12y^2 + y - 1) = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "12y^2 + y - 1 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "12y^2 + 4y - 3y - 1 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "12y^2 + 4y becomes 4y(3y + 1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-3y - 1 becomes -(3y + 1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(4y - 1)(3y + 1) = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Set each factor to zero and solve for y.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4y - 1 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4y = 1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = 1/4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3y + 1 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3y = -1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = -1/3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The answer for y should be y = 1/4 and y = -1/3.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );