document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66056>Question 66056</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131482874/algebrahomeworkh>beginning algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I'm supposed to solve for the roots of each quadratic equation by using the factoring method.  This is so confusing to me it's almost painful.  I honestly d^2+3x-40=0 on't know where to start.<BR>\n" );
document.write( "Xis the problem.  If you could get this to make sense to me I would greatly appreciate it.\r<BR>\n" );
document.write( "\n" );
document.write( "Karen </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46788 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrapro18><B>algebrapro18(249)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrapro18><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=46788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well to solve a quadratic equation by factoring you need to do the following:\r<BR>\n" );
document.write( "\n" );
document.write( "1)Factor the quadratic equation<BR>\n" );
document.write( "  a)Multiply the a and c terms together where a and c are coefficients.<BR>\n" );
document.write( "  b)Factor that number and see what factors add to the b term.<BR>\n" );
document.write( "  *Note: You might end up haveing to take the negative of both factors to get<BR>\n" );
document.write( "         them to add right.<BR>\n" );
document.write( "c)re-write the equation as a product of its factors.<BR>\n" );
document.write( "2)Set each factor equal to 0 and solve\r<BR>\n" );
document.write( "\n" );
document.write( "X^2+3x-40=0<br>\r<BR>\n" );
document.write( "\n" );
document.write( "a = 1, b= 3, c = -40 <br>\r<BR>\n" );
document.write( "\n" );
document.write( "a * c = 1 * -40 = -40 <br>\r<BR>\n" );
document.write( "\n" );
document.write( "factors of -40 are:<BR>\n" );
document.write( "-1 and 40<BR>\n" );
document.write( "-2 and 20<BR>\n" );
document.write( "-4 and 10<BR>\n" );
document.write( "<font color = #FF0000><i>-5 and 8</font></i> <br>\r<BR>\n" );
document.write( "\n" );
document.write( "-5 * 8 = -40<BR>\n" );
document.write( "-5 + 8 = 3 <br>\r<BR>\n" );
document.write( "\n" );
document.write( "X^2+3x-40=0<BR>\n" );
document.write( "=>(x-5)(x+8)=0<br>\r<BR>\n" );
document.write( "\n" );
document.write( "now solve each equation<br>\r<BR>\n" );
document.write( "\n" );
document.write( "x - 5 = 0<BR>\n" );
document.write( "x = 5<br>\r<BR>\n" );
document.write( "\n" );
document.write( "x + 8 = 0 <BR>\n" );
document.write( "x = -8<br>\r<BR>\n" );
document.write( "\n" );
document.write( "So the solution to X^2+3x-40=0 are x = 5 and x = -8 now we check our work <br>\r<BR>\n" );
document.write( "\n" );
document.write( "5^2+3(5)-40=0<BR>\n" );
document.write( "25+15-40=0<BR>\n" );
document.write( "0=0 so we know that x = 5 is a solution. <br>\r<BR>\n" );
document.write( "\n" );
document.write( "(-8)^2+3(-8)-40=0<BR>\n" );
document.write( "64-24-40=0<BR>\n" );
document.write( "0=0 so we know that x = -8 is a solution and we are done. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );