document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=311290>Question 311290</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (x+3)^2+27x+60=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #222627 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=222627\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Okay, from (x+3)^2+27x+60=0,\r<BR>\n" );
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document.write( "let's expand, collect like terms, and solve...here goes...\r<BR>\n" );
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document.write( "x^2 + 6x + 9 + 27x + 60 = 0\r<BR>\n" );
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document.write( "x^2 + 33x + 69 = 0\r<BR>\n" );
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document.write( "We would like to factor this by finding factors of 69 that add to 33, but there aren't any, so we'll have to use the quadratic formula...\r<BR>\n" );
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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;\" > \r<BR>\n" );
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document.write( "so that\r<BR>\n" );
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document.write( "x = [-33 +- sqrt(33^2 - 4*1*69)] / 2\r<BR>\n" );
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document.write( "x = [-33 +- sqrt(1089 - 276)] / 2\r<BR>\n" );
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document.write( "x = [-33 +- sqrt(813)] / 2 </SPAN>\n" );
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