document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=860328>Question 860328</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Have reason to believe an error somewhere in my following steps...\r<BR>\n" );
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document.write( "Original problem: 1/x + 2/(x+2) = 17/35 \r<BR>\n" );
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document.write( "Using LCD to clear fractions, I get:\r<BR>\n" );
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document.write( "35x + 70 + 70x = 17x^2 + 34\r<BR>\n" );
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document.write( "Rewriting to standard quadratic form: \r<BR>\n" );
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document.write( "17x^2 -105x -36 = 0 \r<BR>\n" );
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document.write( "Factoring by grouping I get:\r<BR>\n" );
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document.write( "17x^2 -18x +34x -36<BR>\n" );
document.write( "(17x^2 +34x) +(-18x -36)<BR>\n" );
document.write( "17x(x+2) -18(x+2) <BR>\n" );
document.write( "(17x-18)(x+2)= 0 \r<BR>\n" );
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document.write( "However, when I FOIL last expression above, I get:<BR>\n" );
document.write( "17x^2 +16x -36  ???\r<BR>\n" );
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document.write( "Shouldn't FOIL result in expression I had above for standard quadratic form -- 17x^2 -105x -36 =0 ?\r<BR>\n" );
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document.write( "Thanks much<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518315 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=518315\">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=1%2Fx+%2B+2%2F%28x%2B2%29+=+17%2F35+ ALIGN=MIDDLE  ALT=\"1%2Fx+%2B+2%2F%28x%2B2%29+=+17%2F35+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "LCD = 35x(x+2)\r<BR>\n" );
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document.write( "35(x+2)+2*35*x = 17x(x+2)\r<BR>\n" );
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document.write( "35x+70+70x=17x^2+34x\r<BR>\n" );
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document.write( "17x^2-71x-70=0\r<BR>\n" );
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document.write( "solve for x\r<BR>\n" );
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document.write( "you will get x= 5 or -0.82\r<BR>\n" );
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document.write( "plug the values in the equation to check\r<BR>\n" );
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