document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72741>Question 72741</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone show me how to solve this? It'll help me study for me exam since I missed this section's notes and have no idea on how to do this problem. As always, help is always appreciated. Thank you. :)\r<BR>\n" );
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document.write( "Solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%29%2F%28x-2%29-%283x%29%2F%284-x%29=%28-2%29%28x-6%29%2F%28x%5E2-6x%2B8%29+ ALIGN=MIDDLE  ALT=\"+%28x%29%2F%28x-2%29-%283x%29%2F%284-x%29=%28-2%29%28x-6%29%2F%28x%5E2-6x%2B8%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 #52025 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=52025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x)/(x-2)-(3x)/(4-x)=(-2)(x-6)/(x^2-6x+8)\r<BR>\n" );
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document.write( "If you factor the last denominator you get (x-4)(x-2)<BR>\n" );
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document.write( "The 2nd fraction can be re-written as +(3x)/(x-4)<BR>\n" );
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document.write( "Now the problem looks like:<BR>\n" );
document.write( "(x)/(x-2)+(3x)/(x-4)=(-2)(x-6)/[(x-4)(x-2)]<BR>\n" );
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document.write( "The least common multiple (lcm) of the denominators is (x-2)(x-4)<BR>\n" );
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document.write( "Multiply thru by the lcm to get rid of the denominators.<BR>\n" );
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document.write( "[x(x-4)] + (3x)(x-2) = -2(x-6)\r<BR>\n" );
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document.write( " x^2-4x + 3x^2-6x = -2x+12\r<BR>\n" );
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document.write( " 4x^2 - 8x -12 = 0\r<BR>\n" );
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document.write( " x^2 -2x -3 = 0<BR>\n" );
document.write( "(x-3)(x+1)=0<BR>\n" );
document.write( "x=3 or x=-1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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