document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=449547>Question 449547</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve: 2/5x^2-5x - 5/5x-5\r<BR>\n" );
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document.write( "r^2-25/(r+5)^2\r<BR>\n" );
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document.write( "x-6/x+6 = 5/7\r<BR>\n" );
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document.write( "d+1/d+4 divide by 3d+3/d-7\r<BR>\n" );
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document.write( "9/z-5 +21/(z-5)^2\r<BR>\n" );
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document.write( "Thank you, Gina\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309247 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=309247\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2/5x^2-5x - 5/5x-5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "[2/5x(x-1)] - 5/[5(x-1)]<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "lcd = 5x(x-1)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Rewrite each fraction with the lcd as its denominator:<BR>\n" );
document.write( "[2/lcd] - [5x/lcd]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Combine the numerators:<BR>\n" );
document.write( "[2-5x]/lcd<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= [2-5x]/[5x(x-1)]<BR>\n" );
document.write( "======================<BR>\n" );
document.write( " <BR>\n" );
document.write( "r^2-25/(r+5)^2 <BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "[(r-5)(r+5)]/[(r+5)^2]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Cancel the common (r+5) to get:<BR>\n" );
document.write( "= (r-5)/(r+5)<BR>\n" );
document.write( "=======================\r<BR>\n" );
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document.write( "x-6/x+6 = 5/7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Cross-multiply:<BR>\n" );
document.write( "7x-42 = 5x+30<BR>\n" );
document.write( "2x = 72<BR>\n" );
document.write( "x = 36<BR>\n" );
document.write( "========================= <BR>\n" );
document.write( "d+1/d+4 divide by 3d+3/d-7 <BR>\n" );
document.write( "---<BR>\n" );
document.write( "Invert the denominator and multiply; also factor where you can:<BR>\n" );
document.write( "[(d+1)/(d+4)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Cancel the common d+1 factors:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= [1/(d+4)]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= (d-7)/[3(d+4)]<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "9/z-5 +21/(z-5)^2 <BR>\n" );
document.write( "----<BR>\n" );
document.write( "lcd = (z-5)^2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Rewrite each fraction with the lcd<BR>\n" );
document.write( "---<BR>\n" );
document.write( "[9/lcd] + [21(z-5)]/lcd]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Combine the numerators over the lcd:<BR>\n" );
document.write( "= [9+21z-105]/lcd<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "= [21z--96]/[z-5]^2<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==============<BR>\n" );
document.write( " </SPAN>\n" );
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