document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=94312>Question 94312</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0132203138/algebrahomeworkh>Blitzer</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 3/x+2 + 2/x-2 = 8/(x+2)(x-2) <BR>\n" );
document.write( "Can you please help me solve this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #68663 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=68663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28x%2B2%29+%2B+2%2F%28x-2%29+=+8%2F%28x%2B2%29%28x-2%29 ALIGN=MIDDLE  ALT=\"3%2F%28x%2B2%29+%2B+2%2F%28x-2%29+=+8%2F%28x%2B2%29%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%28x-2%29%283%2F%28x%2B2%29+%2B+2%2F%28x-2%29%29+=+%28x%2B2%29%28x-2%29%288%2F%28x%2B2%29%28x-2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by the LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x-2%29+%2B+2%28x%2B2%29+=+8 ALIGN=MIDDLE  ALT=\"3%28x-2%29+%2B+2%28x%2B2%29+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-6+%2B+2x%2B4+=+8 ALIGN=MIDDLE  ALT=\"3x-6+%2B+2x%2B4+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute again\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2x%2B4=8%2B6 ALIGN=MIDDLE  ALT=\"3x%2B2x%2B4=8%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >Add 6 to both sides\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2x=8%2B6-4 ALIGN=MIDDLE  ALT=\"3x%2B2x=8%2B6-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >Subtract 4 from both sides\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=8%2B6-4 ALIGN=MIDDLE  ALT=\"5x=8%2B6-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=10 ALIGN=MIDDLE  ALT=\"5x=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2810%29%2F%285%29 ALIGN=MIDDLE  ALT=\"x=%2810%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 5 to isolate x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
document.write( "\n" );
document.write( "      <BR>\n" );
document.write( "--------------------------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Answer:\r<BR>\n" );
document.write( "\n" );
document.write( "So our possible answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "However, we must check this answer\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28x%2B2%29+%2B+2%2F%28x-2%29+=+8%2F%28x%2B2%29%28x-2%29 ALIGN=MIDDLE  ALT=\"3%2F%28x%2B2%29+%2B+2%2F%28x-2%29+=+8%2F%28x%2B2%29%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%282%2B2%29+%2B+2%2F%282-2%29+=+8%2F%282%2B2%29%282-2%29 ALIGN=MIDDLE  ALT=\"3%2F%282%2B2%29+%2B+2%2F%282-2%29+=+8%2F%282%2B2%29%282-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4+%2B+2%2F0+=+8%2F0 ALIGN=MIDDLE  ALT=\"3%2F4+%2B+2%2F0+=+8%2F0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the denominators\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since x=2 makes two fractions have a denominator of zero, the possible solution x=2 is not valid. So there are no solutions.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );