document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=500990>Question 500990</A>: <I><SPAN STYLE=\"word-break: break-all;\"> having trouble finding all solutions to this equation 4x^3-6x^2=0                       please help me figure this out... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #338371 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=338371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x^3 - 6x^2 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "x^2(4x - 6) = 0<BR>\n" );
document.write( "This equation is satisfied if x^2 = 0, and 4x - 6 = 0<BR>\n" );
document.write( "The first expression gives x = 0, 0 (multiplicity two)<BR>\n" );
document.write( "The second expression gives x = 3/2<BR>\n" );
document.write( "So the roots are: 0,0,3/2<BR>\n" );
document.write( "The roots can be seen from the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-3%2C3%2C-10%2C10%2C4x%5E3-6x%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-3%2C3%2C-10%2C10%2C4x%5E3-6x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );