document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=325859>Question 325859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by factoring and using the principle of zero products. Show all work necessary.\r<BR>\n" );
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document.write( "4x^2 - 12x = 16 <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 #233272 by </B><A HREF=/tutors/aboutme.mpl?userid=Apathious><B>Apathious(24)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Apathious><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=Apathious><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=233272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x^(2)-12x=16\r<BR>\n" );
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document.write( "To set the left-hand side of the equation equal to 0, move all the expressions to the left-hand side.<BR>\n" );
document.write( "4x^(2)-12x-16=0\r<BR>\n" );
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document.write( "Factor out the GCF of 4 from each term in the polynomial.<BR>\n" );
document.write( "4(x^(2))+4(-3x)+4(-4)=0\r<BR>\n" );
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document.write( "Factor out the GCF of 4 from 4x^(2)-12x-16.<BR>\n" );
document.write( "4(x^(2)-3x-4)=0\r<BR>\n" );
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document.write( "For a polynomial of the form x^(2)+bx+c, find two factors of c (-4) that add up to b (-3).  In this problem 1*-4=-4 and 1-4=-3, so insert 1 as the right hand term of one factor and -4 as the right-hand term of the other factor.<BR>\n" );
document.write( "4(x+1)(x-4)=0\r<BR>\n" );
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document.write( "Divide both sides of the equation by 4.  Dividing 0 by any non-zero number is 0.<BR>\n" );
document.write( "(x+1)(x-4)=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( "x+1=0_x-4=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( "x=-1_x-4=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( "x=-1_x-4=0\r<BR>\n" );
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document.write( "Since -4 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 4 to both sides.<BR>\n" );
document.write( "x=-1_x=4\r<BR>\n" );
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document.write( "The complete solution is the set of the individual solutions.<BR>\n" );
document.write( "x=-1,4 </SPAN>\n" );
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