document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76304>Question 76304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me to solve this equation using the zero-factor property.\r<BR>\n" );
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document.write( "5x^2+12=23x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54752 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=54752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5x^2+12=23x<BR>\n" );
document.write( "5x^2-23x+12=0<BR>\n" );
document.write( "ac=60 and b=-23<BR>\n" );
document.write( "Two numbers whose product is 60 and whose sum is -23 are -20 and -3.<BR>\n" );
document.write( "Rewrite the problem replacing the -23x with -20x and -3x.<BR>\n" );
document.write( "5x^2-20x-3x+12=0<BR>\n" );
document.write( "Factor the fist two and the last two terms separately, as follows:<BR>\n" );
document.write( "5x(x-4)-3(x-4)=0<BR>\n" );
document.write( "Factor out the common factor to get:<BR>\n" );
document.write( "(x-4)(5x-3)=0<BR>\n" );
document.write( "One of the two factors must be zero.<BR>\n" );
document.write( "If x-4=0, x=4<BR>\n" );
document.write( "If 5x-3=0, x=3/5<BR>\n" );
document.write( "Solution: x=4 or x=3/5<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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