document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273112>Question 273112</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve:  2n(2n+4)=6n^2+9n\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199556 by </B><A HREF=/tutors/aboutme.mpl?userid=persian52><B>persian52(161)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=persian52><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=persian52><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=199556\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2n(2n+4)=6n^(2)+9n\r<BR>\n" );
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document.write( "Multiply 2n by each term inside the parentheses.<BR>\n" );
document.write( "(4n^(2)+8n)=6n^(2)+9n\r<BR>\n" );
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document.write( "Remove the parentheses around the expression 4n^(2)+8n.<BR>\n" );
document.write( "4n^(2)+8n=6n^(2)+9n\r<BR>\n" );
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document.write( "Move all terms not containing n to the right-hand side of the equation.<BR>\n" );
document.write( "4n^(2)+8n-6n^(2)-9n=0\r<BR>\n" );
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document.write( "Since 4n^(2) and -6n^(2) are like terms, add -6n^(2) to 4n^(2) to get -2n^(2).<BR>\n" );
document.write( "-2n^(2)+8n-9n=0\r<BR>\n" );
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document.write( "Since 8n and -9n are like terms, add -9n to 8n to get -n.<BR>\n" );
document.write( "-2n^(2)-n=0\r<BR>\n" );
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document.write( "Multiply each term in the equation by -1.<BR>\n" );
document.write( "2n^(2)+n=0\r<BR>\n" );
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document.write( "Factor out the GCF of n from each term in the polynomial.<BR>\n" );
document.write( "n(2n)+n(1)=0\r<BR>\n" );
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document.write( "Factor out the GCF of n from 2n^(2)+n.<BR>\n" );
document.write( "n(2n+1)=0\r<BR>\n" );
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document.write( "Set the single term factor on the left-hand side of the equation equal to 0.<BR>\n" );
document.write( "n=0\r<BR>\n" );
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document.write( "Set each of the factors of the left-hand side of the equation equal to 0.<BR>\n" );
document.write( "2n+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.<BR>\n" );
document.write( "2n=-1\r<BR>\n" );
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document.write( "Divide each term in the equation by 2.<BR>\n" );
document.write( "(2n)/(2)=-(1)/(2)\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common terms.<BR>\n" );
document.write( "n=-(1)/(2)\r<BR>\n" );
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document.write( "The complete solution is the set of the individual solutions.<BR>\n" );
document.write( "n=0,-(1)/(2) </SPAN>\n" );
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