document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77842>Question 77842</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In order for the following fraction to be defined, what value(s) can x not assume?\r<BR>\n" );
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document.write( "7/[(2/x)-(3/5)] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55821 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=55821\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order for the following fraction to be defined, what value(s) can x not assume?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%28%282%2Fx%29-%283%2F5%29%29 ALIGN=MIDDLE  ALT=\"7%2F%28%282%2Fx%29-%283%2F5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Lets look at the denominator(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fx-3%2F5 ALIGN=MIDDLE  ALT=\"2%2Fx-3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >).  The LCM is 5x. To simplify, we will multiply both numerator and denominator of this term by 5x/5x and we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810-3x%29%2F5x ALIGN=MIDDLE  ALT=\"%2810-3x%29%2F5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------------------Now we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%28%2810-3x%29%2F5x%29 ALIGN=MIDDLE  ALT=\"7%2F%28%2810-3x%29%2F5x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Now we will multiply the numerator and denominator by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2F%2810-3x%29 ALIGN=MIDDLE  ALT=\"5x%2F%2810-3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Notice that this will make the denominator =1 and we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2835x%2F%2810-3x%29%29%2F1 ALIGN=MIDDLE  ALT=\"%2835x%2F%2810-3x%29%29%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35x%2F%2810-3x%29 ALIGN=MIDDLE  ALT=\"35x%2F%2810-3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Now we can see that\r<BR>\n" );
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document.write( "10-3x cannot equal zero, so 3x cannot equal 10 or x cannot equal (10/3)\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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