document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=263411>Question 263411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor the expression on the left side of each equation. Then solve the equation\r<BR>\n" );
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document.write( "4x³-32=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194116 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=194116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The original equation was<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E3-32=0 ALIGN=MIDDLE  ALT=\"4x%5E3-32=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 1 - rewrite the left side as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%5E%281%2F3%29%5E3%29%2Ax%5E3+-+%282%5E%285%2F3%29%29%5E3+=+0 ALIGN=MIDDLE  ALT=\"%284%5E%281%2F3%29%5E3%29%2Ax%5E3+-+%282%5E%285%2F3%29%29%5E3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then using difference of cubes, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%5E%281%2F3%29%2Ax+-+2%5E%285%2F3%29%29%2A%284%5E%282%2F3%29%2Ax%5E2+%2B+2%5E%287%2F3%29%2Ax+%2B+2%5E%2810%2F3%29%29+=+0+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "set each part = 0 and solve to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%5E%281%2F3%29%2Ax+-+2%5E%285%2F3%29%29+=+0 ALIGN=MIDDLE  ALT=\"%284%5E%281%2F3%29%2Ax+-+2%5E%285%2F3%29%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add 2^(5/3) to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E%281%2F3%29%2Ax+=+2%5E%285%2F3%29 ALIGN=MIDDLE  ALT=\"4%5E%281%2F3%29%2Ax+=+2%5E%285%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide by 4^(1/3) to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the other parentheses, trinomial, will generate imaginary answers. so we get<BR>\n" );
document.write( "x = 2. </SPAN>\n" );
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