document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115568>Question 115568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve equation. <BR>\n" );
document.write( "x^2-14x=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #84117 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=84117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Probably the easiest way to solve this equation is by factoring. Since both terms on the left<BR>\n" );
document.write( "side contain an x, you can factor out an x to give:<BR>\n" );
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document.write( "x*(x - 14) = 0<BR>\n" );
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document.write( "This equation will be true if either of the factors on the left side are zero because a<BR>\n" );
document.write( "multiplication by zero on the left side will make the left side equal the zero on the right side.<BR>\n" );
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document.write( "So we can get the two answers by setting each of the factors equal to zero.<BR>\n" );
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document.write( "For the first factor equal to zero we have:<BR>\n" );
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document.write( "x = 0 and that is one answer.<BR>\n" );
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document.write( "For the second factor equal to zero we have:<BR>\n" );
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document.write( "x - 14 = 0<BR>\n" );
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document.write( "And if we add 14 to both sides we get:<BR>\n" );
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document.write( "x = 14 and that is the second answer.<BR>\n" );
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document.write( "Check ... go to the original equation x^2 - 14x = 0 and substitute 0 for x. The result is:<BR>\n" );
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document.write( "0 - 0 = 0<BR>\n" );
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document.write( "and that is a correct equation, so the answer x = 0 checks.<BR>\n" );
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document.write( "Return to the original equation x^2 - 14x = 0 and substitute 14 for x. When you do you get:<BR>\n" );
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document.write( "14^2 - 14*14 = 0 <BR>\n" );
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document.write( "and since 14^2 = 14*14 the equation becomes:<BR>\n" );
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document.write( "14*14 - 14*14 = 0<BR>\n" );
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document.write( "This also is a correct equation so the answer x = 14 checks.<BR>\n" );
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document.write( "Hope this helps you to understand the problem.<BR>\n" );
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document.write( " </SPAN>\n" );
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