document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443613>Question 443613</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me solve this equation by completing the square? I am having a hard time figuring out the answer when the coefficient is not 1!<BR>\n" );
document.write( "16x^2+40x+21=0\r<BR>\n" );
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document.write( "Thank you!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305917 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Get it in the form ax^2 + bx = c\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x%5E2+%2B+40x+=+-21 ALIGN=MIDDLE  ALT=\"16x%5E2+%2B+40x+=+-21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%28x%5E2+%2B+expr%285%2F2%29x%29+=+-21 ALIGN=MIDDLE  ALT=\"16%28x%5E2+%2B+expr%285%2F2%29x%29+=+-21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2Bexpr%285%2F2%29x%29+=+-21%2F16 ALIGN=MIDDLE  ALT=\"%28x%5E2%2Bexpr%285%2F2%29x%29+=+-21%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now it is time to complete the square:<BR>\n" );
document.write( "Recall that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c++=+%28b%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"+c++=+%28b%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "So  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F4%29%5E2+=+25%2F16 ALIGN=MIDDLE  ALT=\"%285%2F4%29%5E2+=+25%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Remember to balance the equation by adding what we added to complete the square to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+%2B+5x+%2B+expr%2825%2F16%29%29+=+expr%28-21%2F16%29+%2B+25%2F16 ALIGN=MIDDLE  ALT=\"%28x%5E2+%2B+5x+%2B+expr%2825%2F16%29%29+=+expr%28-21%2F16%29+%2B+25%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Bexpr%285%2F4%29%29%5E2+=+4%2F16 ALIGN=MIDDLE  ALT=\"%28x%2Bexpr%285%2F4%29%29%5E2+=+4%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x%2Bexpr%285%2F4%29%29%5E2+=+expr%281%2F4%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x%2Bexpr%285%2F4%29%29%5E2+=+expr%281%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );