document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77918>Question 77918</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (3m-5)(m+7)=0<BR>\n" );
document.write( "solve for m.\r<BR>\n" );
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document.write( "Please.  Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55823 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=55823\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (3m-5)(m+7)=0<BR>\n" );
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document.write( "If either of the two factors on the left side equals zero, then the left side becomes<BR>\n" );
document.write( "zero. This is because multiplying anything by zero results in zero as the answer. And if<BR>\n" );
document.write( "the left side is zero, then it equals the right side.<BR>\n" );
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document.write( "Just as a further example in the way of explanation, suppose (3m - 5) equals zero, then the<BR>\n" );
document.write( "equation becomes 0 * (m + 7) = 0. And this means that we need to find what value of m<BR>\n" );
document.write( "will make 3m - 5 equal zero.  Now suppose (m + 7) equals zero.  This would make the <BR>\n" );
document.write( "equation become (3m - 5) * 0 = 0.  Note that this equation is true because the left side<BR>\n" );
document.write( "is zero (due to the multiplication by zero) and, therefore, it equals the right side.<BR>\n" );
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document.write( "So all you need to do for this problem is to set each of the factors equal and solve <BR>\n" );
document.write( "for m.<BR>\n" );
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document.write( "3m - 5 = 0<BR>\n" );
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document.write( "eliminate the -5 on the left side by adding 5 to both sides to get:<BR>\n" );
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document.write( "3m = +5<BR>\n" );
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document.write( "Then solve for m by dividing both sides by 3 to get:<BR>\n" );
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document.write( "m = 5/3<BR>\n" );
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document.write( "Next, we set the other factor equal to zero:<BR>\n" );
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document.write( "m + 7 = 0<BR>\n" );
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document.write( "eliminate the + 7 on the left side by subtracting 7 from both sides to get:<BR>\n" );
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document.write( "m = -7<BR>\n" );
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document.write( "There you have it ... two values of m will satisfy the original equation.  Those two values<BR>\n" );
document.write( "for m are m = 5/3 and m = -7.<BR>\n" );
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document.write( "And if you substitute those two values for m into the original equation you will see <BR>\n" );
document.write( "that they work.<BR>\n" );
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document.write( "Hope this helps you to understand the problem. </SPAN>\n" );
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