document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=618110>Question 618110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by factoring 4x^2+8x-5=0\r<BR>\n" );
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document.write( "4x²+8x-5 = 0<BR>\n" );
document.write( "4x²+10x-2x-5 = 0<BR>\n" );
document.write( "(4x²-2x)+(10x-5)<BR>\n" );
document.write( "2x(2x-1)+5(2x-1)<BR>\n" );
document.write( "(2x+5)(2x-1)<BR>\n" );
document.write( "This is my answer but my instructor says \"you need to solve for x.  You factored correctly, but now you need to set each factor = 0 and solve for x\". Confused. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388703 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=388703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by factoring 4x^2+8x-5=0<BR>\n" );
document.write( "4x²+8x-5 = 0<BR>\n" );
document.write( "4x²+10x-2x-5 = 0<BR>\n" );
document.write( "(4x²-2x)+(10x-5)<BR>\n" );
document.write( "2x(2x-1)+5(2x-1)<BR>\n" );
document.write( "(2x+5)(2x-1)<BR>\n" );
document.write( "This is my answer but my instructor says \"you need to solve for x. You factored correctly, but now you need to set each factor = 0 and solve for x\". Confused.<BR>\n" );
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document.write( "The last three lines should STILL be set to zero:<BR>\n" );
document.write( "(4x²-2x)+(10x-5) = 0<BR>\n" );
document.write( "2x(2x-1)+5(2x-1) = 0<BR>\n" );
document.write( "(2x+5)(2x-1) = 0<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now, because you have:<BR>\n" );
document.write( "(2x+5)(2x-1) = 0<BR>\n" );
document.write( "IF the left term in parenthesis is zero the statement would be true.<BR>\n" );
document.write( "Similarly, if you the right term in parenthesis is zero the statement is also true.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So, solve for x by setting each term to zero:<BR>\n" );
document.write( "Left term:<BR>\n" );
document.write( "2x+5 = 0<BR>\n" );
document.write( "2x = -5<BR>\n" );
document.write( "x = -5/2 (one solution)<BR>\n" );
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document.write( "Right term:<BR>\n" );
document.write( "2x-1 = 0<BR>\n" );
document.write( "2x = 1<BR>\n" );
document.write( "x = 1/2 (second solution)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Answer: x = {-5/2, 1/2}<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );