document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=703275>Question 703275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Thank you in advance for an answer to this question. The example 6x^2-9x=60 was given. \r<BR>\n" );
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document.write( "Of course, I set the example to zero, found the greatest fact and this is my result: 3(2x^2-3x-20)=0 was the result which I then factored further by grouping and the result was: 3(2x+5)(x-4)=0 then I set each factor to zero and got the correct answer of x=-5/2 and x=4 which the example showed as the possible results, however, it is confusing to me why we disregard the 3 which is another factor. Can you give me some thoughts regarding this. \r<BR>\n" );
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document.write( "Tina </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433405 by </B><A HREF=/tutors/aboutme.mpl?userid=Nfrey78><B>Nfrey78(18)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nfrey78><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=433405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Of course, I set the example to zero, found the greatest fact and this is my result: 3(2x^2-3x-20)=0 was the result which I then factored further by grouping and the result was: 3(2x+5)(x-4)=0 then I set each factor to zero and got the correct answer of x=-5/2 and x=4 which the example showed as the possible results, however, it is confusing to me why we disregard the 3 which is another factor. Can you give me some thoughts regarding this. \r<BR>\n" );
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document.write( "Good question!<BR>\n" );
document.write( "So if we have two (or more) numbers multiplied together that equal 0, then one or more of those factors must equal zero right?<BR>\n" );
document.write( "Well what if we had 3x = 0.  3 time a number equals zero.  Then the only solution is x = 0.  The 3 doesn't give us any solutions because 3 never equals zero.<BR>\n" );
document.write( "You factored correctly:  3(2x + 5)(x - 4) = 0<BR>\n" );
document.write( "You have three numbers that multiply to give zero, <BR>\n" );
document.write( "Then we set each factor to zero<BR>\n" );
document.write( "3 = 0, 2x + 5 = 0, or x - 4 = 0<BR>\n" );
document.write( "The first equation doesn't give us any solutions, because it is a contradiction, 3 never equals 0.<BR>\n" );
document.write( "The only options are that either the second number (2x + 5) or the third number (x - 4) equals 0 (or both).   </SPAN>\n" );
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