document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930796>Question 930796</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation 3x^2 + 2x = &#8730;(3x^2 + 2x) without squaring both sides. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565282 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=565282\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simple Substitution:  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=3x%5E2%2B2x ALIGN=MIDDLE  ALT=\"u=3x%5E2%2B2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5E2=u ALIGN=MIDDLE  ALT=\"u%5E2=u\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5E2-u=0 ALIGN=MIDDLE  ALT=\"u%5E2-u=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%28u-1%29=0 ALIGN=MIDDLE  ALT=\"u%28u-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=0 ALIGN=MIDDLE  ALT=\"u=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u-1=0 ALIGN=MIDDLE  ALT=\"u-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >;\r<BR>\n" );
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document.write( "Back-substituting this means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283x%5E2%2B2x=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%283x%5E2%2B2x=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283x%5E2%2B2x-1=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%283x%5E2%2B2x-1=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and no further need to square both sides.  Each of these can be solved for x. </SPAN>\n" );
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