document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=537122>Question 537122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help with the following problem:\r<BR>\n" );
document.write( "\n" );
document.write( "solve for x: x/x+5 - 5/x-5= x^2+25/x^2-25\r<BR>\n" );
document.write( "\n" );
document.write( "find LCM of: x^2+8x+16 and x^2+x-12\r<BR>\n" );
document.write( "\n" );
document.write( "im just not sure about the process? im not even really sure how to start.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #352732 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=352732\">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=x%2F%28x%2B5%29-5%2F%28x-5%29+=+%28x%5E2%2B25%29%2F%28x%5E2-25%29 ALIGN=MIDDLE  ALT=\"x%2F%28x%2B5%29-5%2F%28x-5%29+=+%28x%5E2%2B25%29%2F%28x%5E2-25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > I would first add the two fractions on the left side using the LCD of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%28x-5%29 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%28x-5%29-5%28x%2B5%29%29%2F%28%28x%2B5%29%28x-5%29%29+=+%28x%5E2%2B25%29%2F%28x%5E2-25%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-5x-5x-25%29%2F%28x%2B5%29%28x-5%29+=+%28x%5E2%2B25%29%2F%28x%5E2-25%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-5x-5x-25%29%2F%28x%2B5%29%28x-5%29+=+%28x%5E2%2B25%29%2F%28x%5E2-25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now factor the denominator on the right side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-10x-25%29%2F%28x%2B5%29%28x-5%29+=+%28x%5E2%2B25%29%2F%28x%2B5%29%28x-5%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-10x-25%29%2F%28x%2B5%29%28x-5%29+=+%28x%5E2%2B25%29%2F%28x%2B5%29%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%28x-5%29 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-10x-25+=+x%5E2%2B25 ALIGN=MIDDLE  ALT=\"x%5E2-10x-25+=+x%5E2%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10x-25+=+25 ALIGN=MIDDLE  ALT=\"-10x-25+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 25 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10x+=+50 ALIGN=MIDDLE  ALT=\"-10x+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" > Finally, divide both sides by -10.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+-5%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "However, when you try to check this solution by substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-5 ALIGN=MIDDLE  ALT=\"x+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the original equation, you will have division by zero in two of the terms, which means that this solution is invalid.<BR>\n" );
document.write( "This equation, therefore, has no solution! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );