document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257597>Question 257597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3x(2x-5)(3x+1) = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189510 by </B><A HREF=/tutors/aboutme.mpl?userid=jmorgan22><B>jmorgan22(8)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jmorgan22><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=189510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x(2x-5)(3x+1)=0 \r<BR>\n" );
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document.write( "If any individual factor on the left-hand side of the equation is equal to 0, the entire expression will be equal to 0. \r<BR>\n" );
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document.write( "3x=0 <BR>\n" );
document.write( "(2x-5)=0 <BR>\n" );
document.write( "(3x+1)=0 \r<BR>\n" );
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document.write( "Set the first factor equal to 0 and solve. \r<BR>\n" );
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document.write( "3x=0 \r<BR>\n" );
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document.write( "Divide each term in the equation by 3. \r<BR>\n" );
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document.write( " 3x/3=0/3\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common factors. \r<BR>\n" );
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document.write( " x=0/3\r<BR>\n" );
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document.write( "0 divided by any number or variable is 0. \r<BR>\n" );
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document.write( "x=0 \r<BR>\n" );
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document.write( "Set the next factor equal to 0 and solve. \r<BR>\n" );
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document.write( "(2x-5)=0 \r<BR>\n" );
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document.write( "Remove the parentheses around the expression 2x-5. \r<BR>\n" );
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document.write( "2x-5=0 \r<BR>\n" );
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document.write( "Since -5 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 5 to both sides. \r<BR>\n" );
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document.write( "2x=5 \r<BR>\n" );
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document.write( "Divide each term in the equation by 2. \r<BR>\n" );
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document.write( " 2x/2=5/2\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common factors. \r<BR>\n" );
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document.write( " x=5/2\r<BR>\n" );
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document.write( "Set the next factor equal to 0 and solve. \r<BR>\n" );
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document.write( "(3x+1)=0 \r<BR>\n" );
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document.write( "Remove the parentheses around the expression 3x+1. \r<BR>\n" );
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document.write( "3x+1=0 \r<BR>\n" );
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document.write( "Since 1 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 1 from both sides. \r<BR>\n" );
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document.write( "3x=-1 \r<BR>\n" );
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document.write( "Divide each term in the equation by 3. \r<BR>\n" );
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document.write( " 3x/3=-1/3\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common factors. \r<BR>\n" );
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document.write( " x=-1/3\r<BR>\n" );
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document.write( "The final solution is all the values that make 3x(2x-5)(3x+1)=0 true. \r<BR>\n" );
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document.write( " Answer:  x=0, 5/2, -1/3<BR>\n" );
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