document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=718811>Question 718811</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve 15x 2 +31x +2 using the ac method<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #441077 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=441077\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "You can't \"solve\" it because you have no relational operator, i.e. =, <, >, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \leq\">, or <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \geq\">.  I will then presume that you want to factor it.\r<BR>\n" );
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document.write( "Multiply the lead coefficient by the constant term: 15 times 2 is 30.\r<BR>\n" );
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document.write( "Perform the prime factorization of 30:  2 X 3 X 5.  So the two-integer factors of 30 must be 6 X 5, 10 X 3, 15 X 2, or 30 X 1.  Examine these pairs for a set that sums to the first degree term coefficient, i.e. 31.  Looks like 30 and 1, right?\r<BR>\n" );
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document.write( "Rewrite the 1st degree term as a pair of terms that sum to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 31x\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 15x^2\ +\ 30x\ +\ x\ +\ 2\">\r<BR>\n" );
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document.write( "Factor by grouping:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 15x(x\ +\ 2)\ +\ (x\ +\ 2)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (15x\ +\ 1)(x\ +\ 2)\">\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" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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