document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=270264>Question 270264</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28x-6%29-6%2F11=6%2F%28x-6%29 ALIGN=MIDDLE  ALT=\"x%2F%28x-6%29-6%2F11=6%2F%28x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198016 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=198016\">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=x%2F%28x-6%29-6%2F11=6%2F%28x-6%29 ALIGN=MIDDLE  ALT=\"x%2F%28x-6%29-6%2F11=6%2F%28x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "Take note that the LCD is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%28x-6%29 ALIGN=MIDDLE  ALT=\"11%28x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Also, notice that if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6 ALIGN=MIDDLE  ALT=\"x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-6=6-6=0 ALIGN=MIDDLE  ALT=\"x-6=6-6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > which would cause a division by zero. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E6 ALIGN=MIDDLE  ALT=\"x%3C%3E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > (ie pull 6 out of the domain).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11cross%28%28x-6%29%29%28x%2Fcross%28%28x-6%29%29%29%2Bcross%2811%29%28x-6%29%28-6%2Fcross%2811%29%29=11cross%28%28x-6%29%29%286%2Fcross%28%28x-6%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term by the LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%28x-6%29 ALIGN=MIDDLE  ALT=\"11%28x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x%2B%28x-6%29%28-6%29=11%286%29 ALIGN=MIDDLE  ALT=\"11x%2B%28x-6%29%28-6%29=11%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x-6%28x-6%29=11%286%29 ALIGN=MIDDLE  ALT=\"11x-6%28x-6%29=11%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x-6x-6%28-6%29=11%286%29 ALIGN=MIDDLE  ALT=\"11x-6x-6%28-6%29=11%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x-6x%2B36=66 ALIGN=MIDDLE  ALT=\"11x-6x%2B36=66\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x-6x=66-36 ALIGN=MIDDLE  ALT=\"11x-6x=66-36\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 36 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=30 ALIGN=MIDDLE  ALT=\"5x=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=30%2F5 ALIGN=MIDDLE  ALT=\"x=30%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 5 to isolate x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6 ALIGN=MIDDLE  ALT=\"x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "So the <i>possible</i> solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6 ALIGN=MIDDLE  ALT=\"x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >. However, we stated earlier that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E6 ALIGN=MIDDLE  ALT=\"x%3C%3E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > (to avoid dividing by zero).\r<BR>\n" );
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document.write( "So there are no solutions. </SPAN>\n" );
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