document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=782046>Question 782046</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Complete the square to re-write the equation into standard form.<BR>\n" );
document.write( "5x^2+20x+2y^2-28y=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #476255 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=476255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Take out a factor for the x's and another for the y's.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%2B20x%2B2y%5E2-28y=2 ALIGN=MIDDLE  ALT=\"5x%5E2%2B20x%2B2y%5E2-28y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28x%5E2%2B4x%29%2B2%28y%5E2-14y%29=2 ALIGN=MIDDLE  ALT=\"5%28x%5E2%2B4x%29%2B2%28y%5E2-14y%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The square term for the x's is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F2%29%5E2=4 ALIGN=MIDDLE  ALT=\"%284%2F2%29%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the one for the y's is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-14%2F2%29%5E2=49 ALIGN=MIDDLE  ALT=\"%28-14%2F2%29%5E2=49\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28x%5E2%2B4x%2B4%29%2B2%28y%5E2-14y%2B49%29=2%2B5%2A4%2B2%2A49 ALIGN=MIDDLE  ALT=\"5%28x%5E2%2B4x%2B4%29%2B2%28y%5E2-14y%2B49%29=2%2B5%2A4%2B2%2A49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice very carefully how we must use the factorization to properly add the same quantities to BOTH sides of the equation.\r<BR>\n" );
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document.write( "Factorize on the left and simplify on the right:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28x%2B2%29%5E2%2B2%28y-7%29%5E2=120 ALIGN=MIDDLE  ALT=\"5%28x%2B2%29%5E2%2B2%28y-7%29%5E2=120\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by 120:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2%2F24%2B%28y-7%29%5E2%2F60=1 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2%2F24%2B%28y-7%29%5E2%2F60=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You might want further refinement for the a^2=60 and your b^2=24 </SPAN>\n" );
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