document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=747563>Question 747563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following quadratic equation<BR>\n" );
document.write( "a) 4(x+2)^-1 - (3x)^-1 = 10(x+2)^-1\r<BR>\n" );
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document.write( "Can you please help me out? Thanks so much in advance:)<BR>\n" );
document.write( "Can you also please show the steps it would really help me understand:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #454976 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=454976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We'll rewrite it to make it easier to work with. In particular we move all like terms to the same side of the equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A4%28x%2B2%29%5E-1-4%28x%2B2%29%5E-1+-+%283x%29%5E-1+=+10%28x%2B2%29%5E-1-4%28x%2B2%29%5E-1%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which simplifies to...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A%28-+1%29%2F%283x%29+=+6%2F%28x%2B2%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0A%28-+1%29%2F%283x%29+=+6%2F%28x%2B2%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now notice that this is a proportion, so we can cross multiply then divide:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A%28-1%29%28x%2B2%29=%286%29%283x%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0A%28-1%29%28x%2B2%29=%286%29%283x%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A-x-2=18x%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0A-x-2=18x%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2Bx-2=18x%2Bx ALIGN=MIDDLE  ALT=\"-x%2Bx-2=18x%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then x = -2/19\r<BR>\n" );
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document.write( ":) </SPAN>\n" );
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