document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=433620>Question 433620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the product of the second and third of three consecutive integers is 2 more than 7 times the first integer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300591 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=300591\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "Let's have x be the first integer and x+1 and x+2 be the next 2 integers. Now we can set up the equation as:<BR>\n" );
document.write( "(x+1)(x+2)=7x+2<BR>\n" );
document.write( "Expand this out:<BR>\n" );
document.write( "x^2+3x+2=7x+2<BR>\n" );
document.write( "Subtract 7x and 2 to get:<BR>\n" );
document.write( "x^2-4x=0<BR>\n" );
document.write( "factor this out to get:<BR>\n" );
document.write( "x(x-4)=0<BR>\n" );
document.write( "Solve for x and we get:<BR>\n" );
document.write( "x=0<BR>\n" );
document.write( "x=4<BR>\n" );
document.write( "So we can see that 0,1,2 and <BR>\n" );
document.write( "4,5,6 work as answers. <BR>\n" );
document.write( "Make sense?<BR>\n" );
document.write( "RJ<BR>\n" );
document.write( "www.math-unlock.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );