document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=535336>Question 535336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve 125x^3 + 343 = 0? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351857 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=351857\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve 125x^3 + 343 = 0<BR>\n" );
document.write( "Modify:<BR>\n" );
document.write( "----<BR>\n" );
document.write( "(5x)^3 + 7^3 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(5x+7)((5x)^2-(5x)(7)+7^2) = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "(5x+7)(25x^2-35x+49) = 0<BR>\n" );
document.write( "One of those factors must be zero:<BR>\n" );
document.write( "If 5x+7 = 0<BR>\n" );
document.write( "x = -7/5<BR>\n" );
document.write( "----<BR>\n" );
document.write( "If 25x^2-35x+49 = 0<BR>\n" );
document.write( "x = [35 +- sqrt(35^2 - 4*25*49)]/50<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = [35 +- sqrt(-3675)]/50<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = (7/10) +- (60.62/50)i<BR>\n" );
document.write( "==============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "====================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );