document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=49056>Question 49056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am not sure how to go about changing the following problem into standard form.  I tried to do completing the square, but I'm not sure how to use it in this situation or when there is a coefficient other than 1 in front of x^2 and y^2.  I would greatly appreciate help on how to solve the following problem.  Thanks!\r<BR>\n" );
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document.write( "Change the equation to standard form and name the figure.\r<BR>\n" );
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document.write( "3x^2-2y^2-12x-20y-44=0<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 #32519 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=32519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+-+2y%5E2+-+12x+-+20y+-+44+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2+-+2y%5E2+-+12x+-+20y+-+44+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+-+12x+-+2y%5E2+-+20y+=+44 ALIGN=MIDDLE  ALT=\"3x%5E2+-+12x+-+2y%5E2+-+20y+=+44\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%5E2+-+4x%29+-+2%28y%5E2+%2B+10y%29+=+44 ALIGN=MIDDLE  ALT=\"3%28x%5E2+-+4x%29+-+2%28y%5E2+%2B+10y%29+=+44\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%5E2+-+4x%29+-+2%28y%5E2+%2B+10y%29+=+44 ALIGN=MIDDLE  ALT=\"3%28x%5E2+-+4x%29+-+2%28y%5E2+%2B+10y%29+=+44\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x+-+2%29%5E2+-+2%28y+%2B+5%29%5E2+=+44+%2B+4%2A3+%2B+25%2A2 ALIGN=MIDDLE  ALT=\"3%28x+-+2%29%5E2+-+2%28y+%2B+5%29%5E2+=+44+%2B+4%2A3+%2B+25%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > You square the number, then multiply it by the coefficient.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x+-+2%29%5E2+-+2%28y+%2B+5%29%5E2+=+106 ALIGN=MIDDLE  ALT=\"3%28x+-+2%29%5E2+-+2%28y+%2B+5%29%5E2+=+106\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+2%29%5E2%2F%28106%2F3%29+-+%28y+%2B+5%29%5E2%2F53+=+1 ALIGN=MIDDLE  ALT=\"%28x+-+2%29%5E2%2F%28106%2F3%29+-+%28y+%2B+5%29%5E2%2F53+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-20%2C20%2C-20%2C20%2Csqrt%28-53+%2B+%283%2F2%29%28x+-+2%29%5E2%29+-+5%2C-sqrt%28-53+%2B+%283%2F2%29%28x+-+2%29%5E2%29+-+5%2C-5%2Csqrt%2853%29x%2Fsqrt%28106%2F3%29+-+2%2Asqrt%2853%29%2Fsqrt%28106%2F3%29+-+5%2C-sqrt%2853%29x%2Fsqrt%28106%2F3%29+%2B+2%2Asqrt%2853%29%2Fsqrt%28106%2F3%29+-+5%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );