document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205613>Question 205613</A>: <I><SPAN STYLE=\"word-break: break-all;\"> &#8730;x +2  x =0<BR>\n" );
document.write( "I squared both sides to get <BR>\n" );
document.write( "(&#8730;x+2)^2 – x^2 = 0 then simplifying it I got,<BR>\n" );
document.write( "-x^2  +  x+2 = 0  setting up the quadratic equation I got <BR>\n" );
document.write( "(-x +2)(x+1)=0   setting each side to zero,<BR>\n" );
document.write( "-x+2 =0  and x+1=0 solving for x in each equation<BR>\n" );
document.write( "-x+2-2=0-2 = <BR>\n" );
document.write( "X=-2 and for the other one<BR>\n" );
document.write( "X+1-1=0-1=<BR>\n" );
document.write( "X=-1 so  the solution set is {-2,-1) is this correct???<BR>\n" );
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 #155242 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=155242\">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=sqrt%28x%29+%2B+2x+=+0 ALIGN=MIDDLE  ALT=\"sqrt%28x%29+%2B+2x+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > be represented by y. So the original equation then becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29+%2B+2x+=+0 ALIGN=MIDDLE  ALT=\"sqrt%28x%29+%2B+2x+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%2B+2y%5E2+=+0 ALIGN=MIDDLE  ALT=\"y+%2B+2y%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%281%2B2y%29+=+0 ALIGN=MIDDLE  ALT=\"y+%281%2B2y%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So y = 0 or y = -1/2<BR>\n" );
document.write( "Now convert back to x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29+=+0 ALIGN=MIDDLE  ALT=\"sqrt%28x%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> x =0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29+=+-1%2F2 ALIGN=MIDDLE  ALT=\"sqrt%28x%29+=+-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> x is imaginary at best, and non-existent at worst\r<BR>\n" );
document.write( "\n" );
document.write( "The only real solution is x = 0\r<BR>\n" );
document.write( "\n" );
document.write( "See this for a plot --> http://www82.wolframalpha.com/input/?i=x^(1%2F2)+%2B+2x+%3D+0 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );