document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313821>Question 313821</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve the following equation:\r<BR>\n" );
document.write( "\n" );
document.write( "4/x+2 - 6/x-2 = 6/x2-4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224401 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224401\">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=4%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"4%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"6%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28x%5E2-4%29 ALIGN=MIDDLE  ALT=\"6%2F%28x%5E2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The right denominator is the difference of squares, factors to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"4%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"6%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28%28x-2%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"6%2F%28%28x-2%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply each term by (x-2)(x+2), cancels the denominators, leaving:<BR>\n" );
document.write( "4(x-2) - 6(x+2) = 6<BR>\n" );
document.write( ":<BR>\n" );
document.write( "4x - 8 - 6x - 12 = 6<BR>\n" );
document.write( ":<BR>\n" );
document.write( "-2x - 20 = 6<BR>\n" );
document.write( ":<BR>\n" );
document.write( "-2x = 6 + 20<BR>\n" );
document.write( ":<BR>\n" );
document.write( "-2x = 26<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2F%28-2%29 ALIGN=MIDDLE  ALT=\"26%2F%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = -13<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution in original equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"4%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"6%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28x%5E2-4%29 ALIGN=MIDDLE  ALT=\"6%2F%28x%5E2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=-13<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28-13%2B2%29 ALIGN=MIDDLE  ALT=\"4%2F%28-13%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28-13-2%29 ALIGN=MIDDLE  ALT=\"6%2F%28-13-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28-13%5E2-4%29 ALIGN=MIDDLE  ALT=\"6%2F%28-13%5E2-4%29\"   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=4%2F%28-11%29 ALIGN=MIDDLE  ALT=\"4%2F%28-11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28-15%29 ALIGN=MIDDLE  ALT=\"6%2F%28-15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28169-4%29 ALIGN=MIDDLE  ALT=\"6%2F%28169-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-.36 - (-.4) = .04<BR>\n" );
document.write( "-.36 + .40 = .04<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );