document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=265170>Question 265170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation 8x3 + 4x2 &#8722; 18x &#8722; 9 = 0 algebraically for all values of x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195015 by </B><A HREF=/tutors/aboutme.mpl?userid=palanisamy><B>palanisamy(496)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=palanisamy><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=195015\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given equation is<BR>\n" );
document.write( "           8x^3+4x^2-18x-9 = 0<BR>\n" );
document.write( "           8x^2(2x+1)-9(2x+1) = 0<BR>\n" );
document.write( "           (2x+1)(8x^2-9) = 0<BR>\n" );
document.write( "           2x+1 = 0  or 8x^2-9 = 0<BR>\n" );
document.write( "           2x=-1  or 8x^2 = 9<BR>\n" );
document.write( "           x = -1/2  or x^2 = 9/8<BR>\n" );
document.write( "           x = -1/2  or x = 3/2sqrt2  or x = -3/2sqrt2<BR>\n" );
document.write( "So the solution is <BR>\n" );
document.write( "           x = -1/2 , 3/2sqrt2 and -3/2sqrt2<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );