document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=41913>Question 41913</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve\r<BR>\n" );
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document.write( "2x^3-10x^2=0<BR>\n" );
document.write( "show work </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27036 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27036\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor the polynomial:<BR>\n" );
document.write( "(2x^2)(x-5)=0<BR>\n" );
document.write( "Set each factor equal to zero and solve for x:<BR>\n" );
document.write( "2x^2=0<BR>\n" );
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document.write( "2x^2/2=0/2<BR>\n" );
document.write( "x^2=0<BR>\n" );
document.write( "sqrt(x^2)=sqrt(0)<BR>\n" );
document.write( "x=0<BR>\n" );
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document.write( "(x-5)=0<BR>\n" );
document.write( "x=5<BR>\n" );
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document.write( "Possible solution set for x = {0, 5}<BR>\n" );
document.write( "Check by plugging each value back into the original problem:<BR>\n" );
document.write( "2x^3-10x^2=0<BR>\n" );
document.write( "2(0)^3-10(0)^2=0<BR>\n" );
document.write( "0 = 0<BR>\n" );
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document.write( "2x^3-10x^2=0<BR>\n" );
document.write( "2(5)^3-10(5)^2=0<BR>\n" );
document.write( "250 - 250 = 0<BR>\n" );
document.write( "0 = 0<BR>\n" );
document.write( "Each solution checks out! \r<BR>\n" );
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