document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57766>Question 57766</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 32. 2w(4w+1)=1\r<BR>\n" );
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document.write( "can someone please help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39449 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=39449\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given: 2w(4w+1)=1<BR>\n" );
document.write( "We know that 2*w*(4*w+1)=1 (which simply shows the computations).\r<BR>\n" );
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document.write( "Using the distributive property: 2w(4w+1)=8w^2+2w\r<BR>\n" );
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document.write( "So 2w(4w+1)=1 becomes 8w^2+2w=1 or<BR>\n" );
document.write( "8*w^2+2*2 (showing the computations).\r<BR>\n" );
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document.write( "Subtracting 1 from both sides of the equation: 8w^2+2w-1=0, which is standard form.\r<BR>\n" );
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document.write( "We cannot factor 8w^2+2w-1 into simpler terms, so we have to use the quadratic equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Consequently, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-2+%2B-+sqrt%282%5E2+-+8%2A4%2A%28-1%29%29%29%2F%282%2A8%29 ALIGN=MIDDLE  ALT=\"+x+=+%28-2+%2B-+sqrt%282%5E2+-+8%2A4%2A%28-1%29%29%29%2F%282%2A8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "This simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-2+%2B-+6%29%2F16+ ALIGN=MIDDLE  ALT=\"+x+=+%28-2+%2B-+6%29%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So x = .25 or -.5.\r<BR>\n" );
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