document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=704404>Question 704404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve this quadratic equation but don't use the quadratic formula<BR>\n" );
document.write( "4x^2+12x+5=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #434067 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=434067\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First find the factors of 4 form the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4X%5E2 ALIGN=MIDDLE  ALT=\"4X%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The factors of 4 are: 1,2,2,4<BR>\n" );
document.write( "Next Find the factors of 5 (the constant)<BR>\n" );
document.write( "The factors of 5 are: 1,5<BR>\n" );
document.write( "Note that the 5 is positive that means that the factors have to both be positive or both negative.<BR>\n" );
document.write( "Now use the factors of 4 and the factors of 5 to come up with the 12X<BR>\n" );
document.write( "2*5 + 2*1 = 12<BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4X%5E2+%2B+12X+%2B+5 ALIGN=MIDDLE  ALT=\"4X%5E2+%2B+12X+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be rewritten as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282X+%2B+5%29%2A%282X+%2B+1%29 ALIGN=MIDDLE  ALT=\"%282X+%2B+5%29%2A%282X+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------------------------------<BR>\n" );
document.write( "Now we have to solve for each part of the equation.<BR>\n" );
document.write( "The equation equals zero when either of the parentheses equal zero.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X+%2B+5+=+0 ALIGN=MIDDLE  ALT=\"2X+%2B+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 5 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X+=+-5 ALIGN=MIDDLE  ALT=\"2X+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28X+=+-5%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28X+=+-5%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X+%2B+1+=+0 ALIGN=MIDDLE  ALT=\"2X+%2B+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 1 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X+=+-1 ALIGN=MIDDLE  ALT=\"2X+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28X+=+-1%2F2%29 ALIGN=MIDDLE  ALT=\"highlight_green%28X+=+-1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );