document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=297091>Question 297091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 16r^3-9r=0 solve please.  thank you so much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213976 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=213976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 16r^3 - 9r = 0\r<BR>\n" );
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document.write( "Factor out the r on the left side of the equation to get\r<BR>\n" );
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document.write( "r * (16r^2 - 9) = 0\r<BR>\n" );
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document.write( "r = 0 will satisfy this equation because anything times 0 equals 0.\r<BR>\n" );
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document.write( "16r^2 - 9 = 0 will also satisfy this equation because anything times 0 equals 0.\r<BR>\n" );
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document.write( "Solve for 16r^2 - 9 = 0\r<BR>\n" );
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document.write( "Add 9 to both sides of this equation to get 16r^2 = 9\r<BR>\n" );
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document.write( "Divide both sides of this equation by 16 to get r^2 = (9/16)\r<BR>\n" );
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document.write( "Take the square root of both sides of this equation to get r = +/- sqrt(9/16)\r<BR>\n" );
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document.write( "Since sqrt(9/16) is the same as sqrt(9) / sqrt(16), and since sqrt(9) = 3, and since sqrt(16) = 4, you get r  = +/- 3/4\r<BR>\n" );
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document.write( "You have 3 possible answers to this equation.\r<BR>\n" );
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document.write( "They are:\r<BR>\n" );
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document.write( "r = 0<BR>\n" );
document.write( "r = 3/4<BR>\n" );
document.write( "r = -3/4\r<BR>\n" );
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document.write( "Plug those values into the original equation to see if they hold up.\r<BR>\n" );
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document.write( "Your original equation is 16r^3 - 9r = 0\r<BR>\n" );
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document.write( "When r = 0, this equation becomes 0 - 0 = 0 which is true.\r<BR>\n" );
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document.write( "When r = 3/4, this equation becomes 16*27/64 - 9*3/4 = 432/64 - 27/4 = 6.75 - 6.75 = 0 which is true.\r<BR>\n" );
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document.write( "When r = -3/4, this equation becomes 16*-27/64 + 9*3/4 = -432/64 + 27/4 = -6.75 + 6.75 = 0 which is true.\r<BR>\n" );
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document.write( "All 3 answers are solutions to the original equation.\r<BR>\n" );
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