document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153428>Question 153428</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a few questions like these in my college algebra book with no examples to help.\r<BR>\n" );
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document.write( "10-13/x=4+5/x\r<BR>\n" );
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document.write( "and \r<BR>\n" );
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document.write( "x/(x+4) + 4/(x+4) + 2= 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112932 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=112932\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10-13%2Fx+=+4+%2B+5%2Fx ALIGN=MIDDLE  ALT=\"10-13%2Fx+=+4+%2B+5%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x-13+=+4x%2B5 ALIGN=MIDDLE  ALT=\"10x-13+=+4x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 4x from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-13+=+5 ALIGN=MIDDLE  ALT=\"6x-13+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 13 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x+=+18 ALIGN=MIDDLE  ALT=\"6x+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" > Finally, divide both sides by 6.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3 ALIGN=MIDDLE  ALT=\"x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28x%2B4%29+%2B+4%2F%28x%2B4%29+%2B+2+=+0 ALIGN=MIDDLE  ALT=\"x%2F%28x%2B4%29+%2B+4%2F%28x%2B4%29+%2B+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Multiply through by (x+4)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4%2B2%28x%2B4%29+=+0 ALIGN=MIDDLE  ALT=\"x%2B4%2B2%28x%2B4%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand the last term.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4%2B2x%2B8+=+0 ALIGN=MIDDLE  ALT=\"x%2B4%2B2x%2B8+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like-terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B12+=+0 ALIGN=MIDDLE  ALT=\"3x%2B12+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtact 12 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+-12 ALIGN=MIDDLE  ALT=\"3x+=+-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Finally, divide both sides by 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-4 ALIGN=MIDDLE  ALT=\"x+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The only problem with this solution is that it is x = -4 is an excluded value.<BR>\n" );
document.write( "Why?  Because, when you substitute x = -4 into the original equation, the first two terms are undefined:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2F%28-4%2B4%29+%2B+4%2F%28-4%2B4%29+%2B+2+=+0 ALIGN=MIDDLE  ALT=\"-4%2F%28-4%2B4%29+%2B+4%2F%28-4%2B4%29+%2B+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%29%2F0+%2B+4%2F0+%2B+2+=+0 ALIGN=MIDDLE  ALT=\"%28-4%29%2F0+%2B+4%2F0+%2B+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > As you can see, the first two terms are undefined because division by zero is not defined. </SPAN>\n" );
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