document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=523334>Question 523334</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have an equation: 4x^2 - 24x + 27 = 0<BR>\n" );
document.write( "The first part of the question requires me to complete the square so I get:<BR>\n" );
document.write( "4*(x-3)^2 - 9 = 0\r<BR>\n" );
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document.write( "Using this, how can I solve x, WITHOUT using a calculator? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347303 by </B><A HREF=/tutors/aboutme.mpl?userid=gsmani_iyer><B>gsmani_iyer(201)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gsmani_iyer><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=gsmani_iyer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=347303\">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=4x%5E2-24x%2B27+=+0 ALIGN=MIDDLE  ALT=\"4x%5E2-24x%2B27+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >This is to be factorized first.\r<BR>\n" );
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document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-6x-18x%2B27+=+0 ALIGN=MIDDLE  ALT=\"4x%5E2-6x-18x%2B27+=+0\"   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=2x%282x-3%29-9%282x-3%29+=+0 ALIGN=MIDDLE  ALT=\"2x%282x-3%29-9%282x-3%29+=+0\"   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=%282x-3%29%282x-9%29+=+0 ALIGN=MIDDLE  ALT=\"%282x-3%29%282x-9%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  So either of the factors is equal to 0. Because 0 multiplied by any number is equal to 0.<BR>\n" );
document.write( "    = If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-3%29+=+0 ALIGN=MIDDLE  ALT=\"%282x-3%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then 2x = 3; x = 3/2 = 1.5\r<BR>\n" );
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document.write( "    = If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-9%29+=+0 ALIGN=MIDDLE  ALT=\"%282x-9%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then 2x = 9; x = 9/2 = 4.5\r<BR>\n" );
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document.write( "      x = {1.5, 4.5}   Answer.\r<BR>\n" );
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document.write( "    I hope you understood this.  All the best. \r<BR>\n" );
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document.write( "gsm/- </SPAN>\n" );
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