document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177908>Question 1177908</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all real solutions for x in<BR>\n" );
document.write( " 2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2 .  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #807068 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=807068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "One solution by inspection is x=0.  Other solutions, if any, can probably only be obtained approximately using calculus or a graphing calculator.<br><BR>\n" );
document.write( "If you want help with this, re-post your question, making sure you have posted the equation correctly.  As posted, the equation is this:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%282%5Ex-+1%29+x%5E2+%2B+%282%5E%28x%5E2%29-2%29x+=+2%5E%28x%2B1%29+-2 ALIGN=MIDDLE  ALT=\"2%282%5Ex-+1%29+x%5E2+%2B+%282%5E%28x%5E2%29-2%29x+=+2%5E%28x%2B1%29+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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document.write( "If that was indeed the correct equation, then what I said in my original response is correct: there is no algebraic method for solving the equation; numerical methods using calculus or a graphing calculator are required.<br><BR>\n" );
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