document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44674>Question 44674</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all solutions by factoring. \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B45=x%5E2%2B14x ALIGN=MIDDLE  ALT=\"2x%5E2%2B45=x%5E2%2B14x\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29552 by </B><A HREF=/tutors/aboutme.mpl?userid=adamchapman><B>adamchapman(301)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=adamchapman><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=29552\">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=2x%5E2%2B45=x%5E2%2B14x ALIGN=MIDDLE  ALT=\"2x%5E2%2B45=x%5E2%2B14x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rearrange to get zero on the right-hand side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B45=14x ALIGN=MIDDLE  ALT=\"x%5E2%2B45=14x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-14x%2B45=0 ALIGN=MIDDLE  ALT=\"x%5E2-14x%2B45=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you have a quadratic expression, which can be solved using the quadratic solver <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where<BR>\n" );
document.write( "a=1<BR>\n" );
document.write( "b=-14<BR>\n" );
document.write( "c=45.<BR>\n" );
document.write( "Plug these values into the solver to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2814+%2B-+sqrt%28+14%5E2-4%2845%29+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%2814+%2B-+sqrt%28+14%5E2-4%2845%29+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2814+%2B-+sqrt%28+14%5E2-180+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%2814+%2B-+sqrt%28+14%5E2-180+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2814+%2B-+sqrt%28+196-180+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%2814+%2B-+sqrt%28+196-180+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2814+%2B-+sqrt%28+16+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%2814+%2B-+sqrt%28+16+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2814+%2B-+4%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%2814+%2B-+4%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+7+%2B-+2+ ALIGN=MIDDLE  ALT=\"x+=+7+%2B-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so the two solutions are x=5 or x=9.\r<BR>\n" );
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document.write( "I hope this helps.<BR>\n" );
document.write( "P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk<BR>\n" );
document.write( "Adam<BR>\n" );
document.write( " </SPAN>\n" );
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