document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189393>Question 189393</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. I'm practicing for an exam and I need some help with the following problem.\r<BR>\n" );
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document.write( "Solve the equation:\r<BR>\n" );
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document.write( "x-3/x-2 - 1/x = x-3/x\r<BR>\n" );
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document.write( "thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142093 by </B><A HREF=/tutors/aboutme.mpl?userid=greta_elisif><B>greta_elisif(10)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greta_elisif><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=greta_elisif><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=142093\">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-3%2Fx-2+-+1%2Fx+=+x-3%2Fx ALIGN=MIDDLE  ALT=\"x-3%2Fx-2+-+1%2Fx+=+x-3%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "1. Subtract the quantity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%2Fx%29 ALIGN=MIDDLE  ALT=\"%28x-3%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides<BR>\n" );
document.write( "2. Then you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+2+-+1%2Fx+=+0 ALIGN=MIDDLE  ALT=\"-+2+-+1%2Fx+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3. Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides<BR>\n" );
document.write( "4. Then you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+1%2Fx+=+2 ALIGN=MIDDLE  ALT=\"-+1%2Fx+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5. Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "6. Then you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+1+=+2x ALIGN=MIDDLE  ALT=\"-+1+=+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "7. 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( "8. Then you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+1%2F2+=+x ALIGN=MIDDLE  ALT=\"-+1%2F2+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But, it looks like you probably forgot some parentheses here.\r<BR>\n" );
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document.write( "So, I think your problem is actually:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2F%28x-2%29+-+1%2Fx+=+%28x-3%29%2Fx ALIGN=MIDDLE  ALT=\"%28x-3%29%2F%28x-2%29+-+1%2Fx+=+%28x-3%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "1. Get common denominators by muliplying thusly:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-3%29%2F%28x-2%29%29%28x%2Fx%29+-+%281%2Fx%29%28%28x-2%29%2F%28x-2%29%29+=+%28x-3%2Fx%29%28%28x-2%29%2F%28x-2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2. You have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+-+3x%29%2F%28x%5E2+-+2x%29+-+%28x+-+2%29%2F%28x%5E2+-+2x%29+=+%28x%5E2+-+5x+%2B+6%29%2F%28x%5E2+-+2x%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3. Subtract on the left side of the equation<BR>\n" );
document.write( "4. Then you have: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+-+4x+%2B+2%29%2F%28x%5E2+-+2x%29+=+%28x%5E2+-+5x+%2B+6%29%2F%28x%5E2+-+2x%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+-+4x+%2B+2%29%2F%28x%5E2+-+2x%29+=+%28x%5E2+-+5x+%2B+6%29%2F%28x%5E2+-+2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5. Multiply both sides by the quantity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+-+2x%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+-+2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "6. Then you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+4x+%2B+2+=+x%5E2+-+5x+%2B+6 ALIGN=MIDDLE  ALT=\"x%5E2+-+4x+%2B+2+=+x%5E2+-+5x+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "7. Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides<BR>\n" );
document.write( "8. Then you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+4x+%2B+2+=+-+5x+%2B+6 ALIGN=MIDDLE  ALT=\"-+4x+%2B+2+=+-+5x+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "9. Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+5x ALIGN=MIDDLE  ALT=\"-+5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.<BR>\n" );
document.write( "10. Then you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+2+=+6 ALIGN=MIDDLE  ALT=\"x+%2B+2+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "11. Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.<BR>\n" );
document.write( "12. Then you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4 ALIGN=MIDDLE  ALT=\"x+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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