document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208029>Question 208029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi all, I was hoping someone could help me solve the following problem. I need to solve for h in the following equation.<BR>\n" );
document.write( "0= (6/10)h - (5/1000)h^2<BR>\n" );
document.write( "Can someone show me how to do this with full working please? Notes would also be appreciated.<BR>\n" );
document.write( "Thanks, -Nick. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157348 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=157348\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a quadratic equation, and it's already equal to zero, so you need to factor it.  However, the fractions are pretty ugly here.  It might help to get a common denominator of 1000 like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%286%2F10%29h+-+%285%2F1000%29h%5E2 ALIGN=MIDDLE  ALT=\"0=%286%2F10%29h+-+%285%2F1000%29h%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%286%2F10%29%2A%28100%2F100%29h+-%285%2F1000%29h%5E2 ALIGN=MIDDLE  ALT=\"0=%286%2F10%29%2A%28100%2F100%29h+-%285%2F1000%29h%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%28600h-5h%5E2%29%2F1000 ALIGN=MIDDLE  ALT=\"0=%28600h-5h%5E2%29%2F1000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply both sides by 1000:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=600h-5h%5E2 ALIGN=MIDDLE  ALT=\"0=600h-5h%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor out the common factor of 5h:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=5h%28120-h%29 ALIGN=MIDDLE  ALT=\"0=5h%28120-h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "There are two solutions:<BR>\n" );
document.write( "5h=0<BR>\n" );
document.write( "h=0\r<BR>\n" );
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document.write( "120-h=0<BR>\n" );
document.write( "120=h\r<BR>\n" );
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document.write( "R^2 </SPAN>\n" );
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