document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=992286>Question 992286</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all real or imaginary solutions for the following equation:\r<BR>\n" );
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document.write( "(1/x) + 1/(x-1) = (3/2)\r<BR>\n" );
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document.write( "I have really been struggling with using imaginaries and fractions. Help is greatly appreciated.<BR>\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #611885 by </B><A HREF=/tutors/aboutme.mpl?userid=satyareddy22><B>satyareddy22(84)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=satyareddy22><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=611885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1/x) + 1/(x-1) = (3/2)<BR>\n" );
document.write( "{(x-1)+x}/x(x-1)=3/2<BR>\n" );
document.write( "(2x-1/x^2-x)=3/2<BR>\n" );
document.write( "2(2x-1)=3(x^2-x)<BR>\n" );
document.write( "4x-2=3x^2-3x<BR>\n" );
document.write( "3x^2-3x-4x+2=0<BR>\n" );
document.write( "3x^2-7x+2=0<BR>\n" );
document.write( "3x^2-6x-x+2=0<BR>\n" );
document.write( "3x(x-2)-1(x-2)=0<BR>\n" );
document.write( "(x-2)(3x-1)=0<BR>\n" );
document.write( "=>x-2=0,3x-1=0<BR>\n" );
document.write( "=>x=2,x=1/3 </SPAN>\n" );
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