document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=321815>Question 321815</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation: factor the following equation<BR>\n" );
document.write( "                               64x^2-28x-64 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230401 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=230401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Sorry, can't do what you ask.  You asked to 'factor the following equation'  but then you didn't provide the equation.  You gave a quadratic trinomial.  Equations are called equations because they have an equals sign in them.  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ =\ 4\"> is an equation, but <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large w\ -\ 3\"> is NOT an equation and neither is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 64x^2\ -\ 28x\ -\ 64\">.\r<BR>\n" );
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document.write( "Be that as it may, the quadratic trinomial can be factored, but the question is: factored over what set of numbers?\r<BR>\n" );
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document.write( "You can take a 4 out of each of the terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 64x^2\ -\ 28x\ -\ 64\ =\ 4\left(16x^2 -\ 7x\ -\ 16\right)\">\r<BR>\n" );
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document.write( "And since <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 49\ -\ 4(16)(-16)\ =\ 1073\"> which is NOT a perfect square, if you are factoring over the rationals, then you are done.\r<BR>\n" );
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document.write( "But if you are factoring over the reals, which you can do because <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 1073\ \geq\ 0\">, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 64x^2\ -\ 28x\ -\ 64\ =\ 4\left(x\ -\ \frac{7\ +\ \sqrt{1073}}{32}\right)\left(x\ -\ \frac{7\ -\ \sqrt{1073}}{32}\right)\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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