document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=375712>Question 375712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (2w+i)/(w-i) = (3w+4i)/(w+3i)\r<BR>\n" );
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document.write( "I have tried solving this by bringing one side over to the other, making a common denominator, and subtracting, and setting it equal to zero, but then I get stuck.  There must be some trick to this.  I appreciate you looking at this problem.  =) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #267179 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=267179\">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=%282w%2Bi%29%2F%28w-i%29+=+%283w%2B4i%29%2F%28w%2B3i%29 ALIGN=MIDDLE  ALT=\"%282w%2Bi%29%2F%28w-i%29+=+%283w%2B4i%29%2F%28w%2B3i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Cross-multiply to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282w%2Bi%29%28w%2B3i%29=+%283w%2B4i%29%28w-i%29+ ALIGN=MIDDLE  ALT=\"%282w%2Bi%29%28w%2B3i%29=+%283w%2B4i%29%28w-i%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w%5E2+%2B+6iw+%2B+iw+%2B+3i%5E2+=+3w%5E2+-+3iw+%2B+4iw+-+4i%5E2 ALIGN=MIDDLE  ALT=\"2w%5E2+%2B+6iw+%2B+iw+%2B+3i%5E2+=+3w%5E2+-+3iw+%2B+4iw+-+4i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w%5E2+%2B7iw+-+3+=+3w%5E2+%2B+iw+%2B+4 ALIGN=MIDDLE  ALT=\"2w%5E2+%2B7iw+-+3+=+3w%5E2+%2B+iw+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+w%5E2+-+6iw+%2B+7 ALIGN=MIDDLE  ALT=\"0+=+w%5E2+-+6iw+%2B+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "0 = (w -7i )(w + i), giving<BR>\n" );
document.write( "w = 7i or w = -i.  Since none of these values make the denominators of the original equation equal to zero, these are the final answers.<BR>\n" );
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