document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100293>Question 100293</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Not sure why this problem is such and issue for me. <BR>\n" );
document.write( "1.  What values for x must be excluded in the following fraction?<BR>\n" );
document.write( "      -1/x-8\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73031 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=73031\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You wrote that you were given -1/x-8 which, according to the rules of algebra means that<BR>\n" );
document.write( "you do the divisions and multiplications first and the additions and subtractions next and<BR>\n" );
document.write( "therefore you get:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2Fx+-+8 ALIGN=MIDDLE  ALT=\"-1%2Fx+-+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "but I suspect that you meant to write -1/(x-8) which means that you divide -1 by the quantity<BR>\n" );
document.write( "x - 8 to get the fraction:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F%28x-8%29 ALIGN=MIDDLE  ALT=\"-1%2F%28x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "In algebra, division by zero is not allowed. Therefore, the denominator x - 8 is not allowed <BR>\n" );
document.write( "to equal zero. We can find the value of x that will make the denominator equal zero by<BR>\n" );
document.write( "writing the equation:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+8+=+0 ALIGN=MIDDLE  ALT=\"x+-+8+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Solve this equation by adding 8 to both sides to get:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+8 ALIGN=MIDDLE  ALT=\"x+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "When x equals 8 the denominator will be zero and we will have a division by zero. Therefore,<BR>\n" );
document.write( "we cannot allow the value of x to be +8. Other than that, any other real value of x will be<BR>\n" );
document.write( "OK ... anywhere from minus infinity to positive infinity ... except for +8.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Hope this helps you to understand the problem.<BR>\n" );
document.write( ".<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );