document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=738152>Question 738152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I needed help on this question...I don't know how to do it.<BR>\n" );
document.write( "Find the solutions:\r<BR>\n" );
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document.write( "2x to the 4th + 8x to the 3rd = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #450693 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=450693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm not sure you mean the given equation is<BR>\n" );
document.write( "(1) (2x)^4 + (8x)^3 = 0 OR<BR>\n" );
document.write( "(2) 2x^4 + 8x^3 = 0<BR>\n" );
document.write( "It doesn't effect the solution technicque, only the value of one of the roots.<BR>\n" );
document.write( "I'll do (1), where we have<BR>\n" );
document.write( "(3) 16x^4 + 512x^3 = 0<BR>\n" );
document.write( "Dividing by 16 gives us<BR>\n" );
document.write( "(4) x^4 + 32x^3 = 0 <BR>\n" );
document.write( "Now factor out x^3 and get<BR>\n" );
document.write( "(5) x^3*(x + 32) = 0<BR>\n" );
document.write( "Since the given equation is 4th order, we need four roots,. They are given by the solution set x = {0,0,0,-32). Note that x^3 = 0 results in a triple root at x = 0.<BR>\n" );
document.write( "If you meant that the given equation is given by (2), the solution set is {0,0,0,-4) </SPAN>\n" );
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