document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159907>Question 159907</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all the solutions of the equation algebraically.\r<BR>\n" );
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document.write( "9x^4-24x^3+16x^2=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117922 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=117922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 9x^4-24x^3+16x^2=0<BR>\n" );
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document.write( "Begin by factoring out x^2:<BR>\n" );
document.write( "x^2(9x^2-24x+16)=0<BR>\n" );
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document.write( "Factoring the polynomial inside the parenthesis:<BR>\n" );
document.write( "x^2(3x-4)(3x-4)=0<BR>\n" );
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document.write( "Notice that if x^2 is 0 OR if (3x-4)=0 the entire left side would be zero.<BR>\n" );
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document.write( "Solutions are when:<BR>\n" );
document.write( "1. when <BR>\n" );
document.write( "x^2 = 0<BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "(3x-4)=0<BR>\n" );
document.write( "3x=4<BR>\n" );
document.write( "x = 4/3<BR>\n" );
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document.write( "x = {0, 4/3} </SPAN>\n" );
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