document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248003>Question 248003</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve (x-2)^2(2x+1)less than or equal to 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180781 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=180781\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve (x-2)^2(2x+1) <= 0<BR>\n" );
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document.write( "1st: Solve the EQUALITY:<BR>\n" );
document.write( "x = 2 or x = -1/2<BR>\n" );
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document.write( "Draw a number line and plot the two values, x = -1/2 and x = 2<BR>\n" );
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document.write( "Now, pick a test value from each of the three line intervals to<BR>\n" );
document.write( "see where the solutions for the inequality are.<BR>\n" );
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document.write( "Test is (x-2)^2(2x+1) < 0<BR>\n" );
document.write( "Testing x=-1 you get [(-3)^2](-1) < 0; true so solutions in (-inf,-1/2)<BR>\n" );
document.write( "Testing x = 1 you get [(-1)^2(3)] < 0 ; false so no solutions in (-1/2,2)<BR>\n" );
document.write( "Testing x = 3 you get [(1)^2*7] < 0 ; false so no solutions in (2,+inf)<BR>\n" );
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document.write( "Final Answer {x | -inf < x < -1/2)}<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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