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" );
document.write( "\n" );
document.write( "3/x+ 5/x+2 = 2              \r<BR>\n" );
document.write( "\n" );
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" );
document.write( "\n" );
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 #604468 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=604468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is this the problem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2Fx+%2B+5%2F%28+x%2B2+%29+=+2+ ALIGN=MIDDLE  ALT=\"+3%2Fx+%2B+5%2F%28+x%2B2+%29+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If so, multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2A%28+x%2B2+%29+ ALIGN=MIDDLE  ALT=\"+x%2A%28+x%2B2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A%28+x%2B2+%29+%2B+5x+=+2x%2A%28+x%2B2+%29+ ALIGN=MIDDLE  ALT=\"+3%2A%28+x%2B2+%29+%2B+5x+=+2x%2A%28+x%2B2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+6+%2B+5x+=+2x%5E2+%2B+4x+ ALIGN=MIDDLE  ALT=\"+3x+%2B+6+%2B+5x+=+2x%5E2+%2B+4x+\"   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+%2B+4x+-+3x+-+5x+-+6+=+0+ ALIGN=MIDDLE  ALT=\"+2x%5E2+%2B+4x+-+3x+-+5x+-+6+=+0+\"   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+-+4x+-+6+=+0+ ALIGN=MIDDLE  ALT=\"+2x%5E2+-+4x+-+6+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+2x+-+3+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+2x+-+3+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "By looking at this, I see the solution is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+-3+%29%2A%28+x+%2B+1+%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28+x+-3+%29%2A%28+x+%2B+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=+x+=+3+ ALIGN=MIDDLE  ALT=\"+x+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-1+ ALIGN=MIDDLE  ALT=\"+x+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Check solutions by plugging them back into<BR>\n" );
document.write( "the original problem<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2Fx+%2B+5%2F%28+x%2B2+%29+=+2+ ALIGN=MIDDLE  ALT=\"+3%2Fx+%2B+5%2F%28+x%2B2+%29+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F3+%2B+5%2F%28+3%2B2+%29+=+2+ ALIGN=MIDDLE  ALT=\"+3%2F3+%2B+5%2F%28+3%2B2+%29+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2B+1+=+2+ ALIGN=MIDDLE  ALT=\"+1+%2B+1+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2Fx+%2B+5%2F%28+x%2B2+%29+=+2+ ALIGN=MIDDLE  ALT=\"+3%2Fx+%2B+5%2F%28+x%2B2+%29+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F-1+%2B+5%2F%28+-1%2B2+%29+=+2+ ALIGN=MIDDLE  ALT=\"+3%2F-1+%2B+5%2F%28+-1%2B2+%29+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3+%2B+5%2F1+=+2+ ALIGN=MIDDLE  ALT=\"+-3+%2B+5%2F1+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3+%2B+5+=+2+ ALIGN=MIDDLE  ALT=\"+-3+%2B+5+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );