document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=639932>Question 639932</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (x-3)(x-2)=14 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #402933 by </B><A HREF=/tutors/aboutme.mpl?userid=josh_jordan><B>josh_jordan(263)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josh_jordan><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=josh_jordan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=402933\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve, first expand the left side of the equal sign:\r<BR>\n" );
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document.write( "(x - 3)(x - 2) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+5x+%2B+6+=+14 ALIGN=MIDDLE  ALT=\"x%5E2+-+5x+%2B+6+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, subtract 14 from both sides of the equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+5x+%2B+6+-+14+=+14+-+14 ALIGN=MIDDLE  ALT=\"x%5E2+-+5x+%2B+6+-+14+=+14+-+14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This gives us\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+5x+-+8+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+5x+-+8+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We unfortunately cannot factor this quadratic equation, so from this point, we could try completing the square or using the quadratic formula.  Let's 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-%28-5%29%2B-sqrt%28-5%5E2-4%2A1%2A%28-8%29%29%29%2F%282%2A1%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%28-5%29%2B-sqrt%28-5%5E2-4%2A1%2A%28-8%29%29%29%2F%282%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which reduces down to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%285%2B-sqrt%2825%2B32%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%285%2B-sqrt%2825%2B32%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5%2B-sqrt%2857%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+5%2B-sqrt%2857%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "FINAL ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%285%2Bsqrt%2857%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%285%2Bsqrt%2857%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > AND <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%285-sqrt%2857%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%285-sqrt%2857%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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