document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65133>Question 65133</A>: <I><SPAN STYLE=\"word-break: break-all;\"> [x/(4x^2-9)] - [(x+3)/(8x^2+6x-9)] = [1/(8x^2-18x+9)]  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45697 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=45697\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> [x/(4x^2-9)] - [(x+3)/(8x^2+6x-9)] = [1/(8x^2-18x+9)] <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%284x%5E2-9%29-%28x%2B3%29%2F%288x%5E2%2B6x-9%29=1%2F%288x%5E2-18x%2B9%29 ALIGN=MIDDLE  ALT=\"x%2F%284x%5E2-9%29-%28x%2B3%29%2F%288x%5E2%2B6x-9%29=1%2F%288x%5E2-18x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor the denominators to find the lowest common denominator and restriced values for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-9=%282x%2B3%29%282x-3%29 ALIGN=MIDDLE  ALT=\"4x%5E2-9=%282x%2B3%29%282x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2x+3 cannot = 0 and 2x-3 cannot =0<BR>\n" );
document.write( "x cannot =-3/2  and x cannot = 3/2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E2%2B6x-9 ALIGN=MIDDLE  ALT=\"8x%5E2%2B6x-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E2%2B12x-6x-9 ALIGN=MIDDLE  ALT=\"8x%5E2%2B12x-6x-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x%5E2%2B12x%29%2B%28-6x-9%29 ALIGN=MIDDLE  ALT=\"%288x%5E2%2B12x%29%2B%28-6x-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%282x%2B3%29-3%282x%2B3%29 ALIGN=MIDDLE  ALT=\"4x%282x%2B3%29-3%282x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x-3%29%282x%2B3%29 ALIGN=MIDDLE  ALT=\"%284x-3%29%282x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x cannot = 3/4 and x cannot= -3/2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E2-18x%2B9 ALIGN=MIDDLE  ALT=\"8x%5E2-18x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E2-12x-6x%2B9 ALIGN=MIDDLE  ALT=\"8x%5E2-12x-6x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x%5E2-12x%29%2B%28-6x%2B9%29 ALIGN=MIDDLE  ALT=\"%288x%5E2-12x%29%2B%28-6x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%282x-3%29-3%282x-3%29 ALIGN=MIDDLE  ALT=\"4x%282x-3%29-3%282x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x-3%29%282x-3%29 ALIGN=MIDDLE  ALT=\"%284x-3%29%282x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x cannot=3/4 and x cannot=3/2<BR>\n" );
document.write( "Your LCD would be (2x+3)(2x-3)(4x-3)<BR>\n" );
document.write( "Your restricted values are: x cannot = -3/2, 3/4, or 3/2<BR>\n" );
document.write( "Multiply both sides by the LCD and if you get one of the restricted values, reject it beacuse its extraneous.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%282x%2B3%29%282x-3%29%284x-3%29%29%2F%28%282x%2B3%29%282x-3%29%29-%28x%2B3%29%282x%2B3%29%282x-3%29%284x-3%29%2F%28%284x-3%29%282x%2B3%29%29=1%28%282x%2B3%29%282x-3%29%284x-3%29%29%2F%28%284x-3%29%282x-3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel the matching numerators and denominators:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%284x-3%29-%28x%2B3%29%282x-3%29=%282x%2B3%29 ALIGN=MIDDLE  ALT=\"x%284x-3%29-%28x%2B3%29%282x-3%29=%282x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-3x-%282x%5E2-3x%2B6x-9%29=2x%2B3 ALIGN=MIDDLE  ALT=\"4x%5E2-3x-%282x%5E2-3x%2B6x-9%29=2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-3x-%282x%5E2%2B3x-9%29=2x%2B3 ALIGN=MIDDLE  ALT=\"4x%5E2-3x-%282x%5E2%2B3x-9%29=2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-3x-2x%5E2-3x%2B9=2x%2B3 ALIGN=MIDDLE  ALT=\"4x%5E2-3x-2x%5E2-3x%2B9=2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-6x%2B9=2x%2B3 ALIGN=MIDDLE  ALT=\"2x%5E2-6x%2B9=2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-6x-2x%2B9-3=2x-2x%2B3-3 ALIGN=MIDDLE  ALT=\"2x%5E2-6x-2x%2B9-3=2x-2x%2B3-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-8x%2B6=0 ALIGN=MIDDLE  ALT=\"2x%5E2-8x%2B6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2-4x%2B3%29=0 ALIGN=MIDDLE  ALT=\"2%28x%5E2-4x%2B3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-3%29%28x-1%29=0 ALIGN=MIDDLE  ALT=\"2%28x-3%29%28x-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-3%29%28x-1%29%2F2=0%2F2 ALIGN=MIDDLE  ALT=\"2%28x-3%29%28x-1%29%2F2=0%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%28x-1%29=0 ALIGN=MIDDLE  ALT=\"%28x-3%29%28x-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x-3=0 or x-1=0<BR>\n" );
document.write( "x-3+3=0+3 or x-1+1=0+1<BR>\n" );
document.write( "x=3 or x=1<BR>\n" );
document.write( "These aren't one of the restricted values, so they're valid.  You can double check them, byt substitution to see if the equation balances to be double safe.  I checked it on my calculator.<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );