document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=342563>Question 342563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem: solve the equation B = 3K / (2B-1) for the variable B. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #245283 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=245283\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the equation B = 3K / (2B-1) for the variable B.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "B = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283K%29%2F%28%282B-1%29%29 ALIGN=MIDDLE  ALT=\"%283K%29%2F%28%282B-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by (2B-1)<BR>\n" );
document.write( "B(2B-1) = 3k<BR>\n" );
document.write( "2B^2 - B = 3k<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "2B^2 - B - 3k = 0<BR>\n" );
document.write( "Use the quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But in this problem x=B; a=2; b=-1 c=-3k<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+%28-%28-1%29+%2B-+sqrt%28-1%5E2-4%2A2%2A%28-3k%29+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"B+=+%28-%28-1%29+%2B-+sqrt%28-1%5E2-4%2A2%2A%28-3k%29+%29%29%2F%282%2A2%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=B+=+%281+%2B-+sqrt%281+-+%28-24k%29+%29%29%2F4+ ALIGN=MIDDLE  ALT=\"B+=+%281+%2B-+sqrt%281+-+%28-24k%29+%29%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+%281+%2B+sqrt%281+%2B+24k+%29%29%2F4+ ALIGN=MIDDLE  ALT=\"B+=+%281+%2B+sqrt%281+%2B+24k+%29%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+%281+-+sqrt%281+%2B+24k+%29%29%2F4+ ALIGN=MIDDLE  ALT=\"B+=+%281+-+sqrt%281+%2B+24k+%29%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );