document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=829988>Question 829988</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use factoring to solve the following quadratic equation \r<BR>\n" );
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document.write( "x(5x+2) = 2x^ 2 -6x+16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #500330 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=500330\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x(5x+2) = 2x^ 2 -6x+16<BR>\n" );
document.write( "5x^2 + 2x = 2x^2 -6x + 16<BR>\n" );
document.write( "add -2x^2 to each side<BR>\n" );
document.write( "3x^2 + 2x = -6x + 16<BR>\n" );
document.write( "add 6x to each side<BR>\n" );
document.write( "3x^2 + 8x =  16<BR>\n" );
document.write( "add -16 to each side<BR>\n" );
document.write( "3x^2 + 8x - 16 = 0<BR>\n" );
document.write( "product of outer coefficients is -48<BR>\n" );
document.write( "(12)(-4)= -48<BR>\n" );
document.write( "3x^2 +12x -4x - 16 = 0<BR>\n" );
document.write( "3x(x + 4) -4(x + 4) = 0<BR>\n" );
document.write( "(3x - 4)(x + 4) = 0<BR>\n" );
document.write( "3x - 4 = 0<BR>\n" );
document.write( "3x = 4<BR>\n" );
document.write( "x = 4/3<BR>\n" );
document.write( "x + 4 = 0<BR>\n" );
document.write( "x = -4<BR>\n" );
document.write( "So solutions are 4/3 and -4<BR>\n" );
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