document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=347734>Question 347734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z%2Fz-2-1+%2Fz%2B5=7+%2Fz%5E2%2B3z-10 ALIGN=MIDDLE  ALT=\"+z%2Fz-2-1+%2Fz%2B5=7+%2Fz%5E2%2B3z-10\"   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 #248637 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=248637\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z/(z-2) -1/(z+5) = 7/(z^2+3z-10)<BR>\n" );
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document.write( "Multiply thru by z^2+3z-10 to get:<BR>\n" );
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document.write( "z(z+5)-(z-2) = 7<BR>\n" );
document.write( "z^2+4z+2 = 7<BR>\n" );
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document.write( "z^2+4z-5 = 0<BR>\n" );
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document.write( "(z+5)(z-1) =0<BR>\n" );
document.write( "z = -5 or z = 1<BR>\n" );
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document.write( "But z cannot be -5 as that would make z-5 = 0.<BR>\n" );
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document.write( "Ans: x = 1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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