document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825006>Question 825006</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for what values of c does |2x+1|= x+c have two solutions?<BR>\n" );
document.write( "Thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496964 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=496964\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x+1>0:<BR>\n" );
document.write( "2x+1=x+c<BR>\n" );
document.write( "'<BR>\n" );
document.write( "2x+1<0:<BR>\n" );
document.write( "-2x-1=x+c\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Use the two resulting equations.<BR>\n" );
document.write( "2x+1-x=c and -2x-1-x=c<BR>\n" );
document.write( "x+1=c and -3x-1=c<BR>\n" );
document.write( "Giving <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1=-3x-1 ALIGN=MIDDLE  ALT=\"x%2B1=-3x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=-2 ALIGN=MIDDLE  ALT=\"4x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1%2F2 ALIGN=MIDDLE  ALT=\"x=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That means:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=1-1%2F2=1%2F2 ALIGN=MIDDLE  ALT=\"c=1-1%2F2=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=3%281%2F2%29-1=3%2F2-2%2F2=1%2F2 ALIGN=MIDDLE  ALT=\"c=3%281%2F2%29-1=3%2F2-2%2F2=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The equation would have just one value for c.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=1%2F2 ALIGN=MIDDLE  ALT=\"c=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "What if you would try solving for c first instead of x?<BR>\n" );
document.write( "x+1=c and -3x-1=c<BR>\n" );
document.write( "x=c-1 and -3x=c+1<BR>\n" );
document.write( "x=c-1 and x=(c+1)/(-3)<BR>\n" );
document.write( "then<BR>\n" );
document.write( "c-1=-(c+1)/3<BR>\n" );
document.write( "3c-3=-c-1<BR>\n" );
document.write( "4c=-1+3<BR>\n" );
document.write( "4c=2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=1%2F2 ALIGN=MIDDLE  ALT=\"c=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, just like before. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );