document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983667>Question 983667</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I have to solve the following equation:\r<BR>\n" );
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document.write( "3/x+ 5/x+2 = 2              \r<BR>\n" );
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document.write( "^ Ive had trouble searching information on these types of equations because in the 5/x+2 part the '2' is actually in the denominator, not beside the fraction, but all search engines pick it as being to the right.\r<BR>\n" );
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document.write( "What I tried was multiplying both sides by x to get 3+5/2= 2 and then solving it, but I don't think I'm allowed to cancel out the x from x+2 in this way.  Any help would be much appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #604467 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=604467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \frac{3}{x}\ +\ \frac{5}{x\ +\ 2} \ =\ 2\">\r<BR>\n" );
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document.write( "In order to add two fractions with dissimilar denominators, you need a common denominator.  Since there are no common factors between these two denominators, the lowest common denominator is simply the product of the two denominators.  Hence:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \frac{3(x\ +\ 2)\ +\ 5x}{x(x\ +\ 2)}\ =\ 2\">\r<BR>\n" );
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document.write( "Multiply both sides by the now common denominator, collect like terms, put the quadratic into standard form, namely <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large ax^2\ +\ bx\ +\ c\ =\ 0\">, and then solve by any convenient means.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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