document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=785476>Question 785476</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me to solve this quadratic equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+-+2+%28+x+%2B+3+%29+=+0 ALIGN=MIDDLE  ALT=\"3x+-+2+%28+x+%2B+3+%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477554 by </B><A HREF=/tutors/aboutme.mpl?userid=Trontor><B>Trontor(4)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Trontor><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=477554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+-+2+%28+x+%2B+3+%29+=+0 ALIGN=MIDDLE  ALT=\"3x+-+2+%28+x+%2B+3+%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Firstly, expand the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%2B3%29 ALIGN=MIDDLE  ALT=\"2%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > using the distributive law, this makes our equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+-+2x+%2B+6+=+0+ ALIGN=MIDDLE  ALT=\"+3x+-+2x+%2B+6+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since you didn't provide a method, I will do it the easiest way, the quadratic formula.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+-+2x+=+1x+=+x ALIGN=MIDDLE  ALT=\"+3x+-+2x+=+1x+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+6+=+0 ALIGN=MIDDLE  ALT=\"+x+%2B+6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From here you can say that x = -6 straight away, but using the QUADRATIC FORMULA:<BR>\n" );
document.write( "The standard formula that applies to the quadratic formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2+%2B+bx+%2B+c+=+0+ ALIGN=MIDDLE  ALT=\"ax%5E2+%2B+bx+%2B+c+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = Coefficient of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > b = Coefficient of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > c = the single number value\r<BR>\n" );
document.write( "\n" );
document.write( "a = 0   (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1x%5E2+=+0 ALIGN=MIDDLE  ALT=\"1x%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >)         b = 1 (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1x ALIGN=MIDDLE  ALT=\"x+=+1x\"   DISABLED_style= \"max-width:90%; height:auto;\" >)      c = 6<BR>\n" );
document.write( "Quadratic Formula =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-%284%2Aa%2Ac%29+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-%284%2Aa%2Ac%29+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "WE CANNOT DO THIS! AS 2*a = 0 , which means we CANNOT divide by zero.<BR>\n" );
document.write( "I will assume that your equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x+-+2%29+%28+x+%2B+3+%29 ALIGN=MIDDLE  ALT=\"%283x+-+2%29+%28+x+%2B+3+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Which is expanded to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+%2B+7x+-+6+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2+%2B+7x+-+6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is fine for a quadratic equation.\r<BR>\n" );
document.write( "\n" );
document.write( "a = 3       b = 7    c = -6<BR>\n" );
document.write( "Now we substitute the a, b, and c values that are in your equation into this quadratic formula so it can return 2, (maybe 1 in this case) values of x.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-7+%2B-+sqrt%28+7%5E2-%284%2A3%2A-6%29%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-7+%2B-+sqrt%28+7%5E2-%284%2A3%2A-6%29%29%29%2F%282%2A3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-7+%2B-+sqrt%2849+-+-72%29%29+%2F+6 ALIGN=MIDDLE  ALT=\"x+=+%28-7+%2B-+sqrt%2849+-+-72%29%29+%2F+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-7+%2B-+sqrt%2849+%2B+72%29%29+%2F+6 ALIGN=MIDDLE  ALT=\"x+=+%28-7+%2B-+sqrt%2849+%2B+72%29%29+%2F+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-7+%2B-+sqrt%28121%29%29+%2F+6 ALIGN=MIDDLE  ALT=\"x+=+%28-7+%2B-+sqrt%28121%29%29+%2F+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+%28-7+%2B-+11%29+%2F+6 ALIGN=MIDDLE  ALT=\"x=+%28-7+%2B-+11%29+%2F+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "THEREFORE <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-7+%2B+11%29+%2F+6 ALIGN=MIDDLE  ALT=\"x+=+%28-7+%2B+11%29+%2F+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x++=+4%2F+6 ALIGN=MIDDLE  ALT=\"x++=+4%2F+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+0.67%7D%7D%0D%0Aor+%0D%0A%7B%7B%7Bx+=+%28-7+-+11%29+%2F+6 ALIGN=MIDDLE  ALT=\"x+=+0.67%7D%7D%0D%0Aor+%0D%0A%7B%7B%7Bx+=+%28-7+-+11%29+%2F+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-18%2F+6 ALIGN=MIDDLE  ALT=\"x+=+-18%2F+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-3%7D%7D%0D%0A%0D%0A%7B%7B%7Bx+=+0.67+or+-3 ALIGN=MIDDLE  ALT=\"x+=+-3%7D%7D%0D%0A%0D%0A%7B%7B%7Bx+=+0.67+or+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I personally think you mistyped the equation, it was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x+-+2%29%28+x+%2B+3+%29+=+0 ALIGN=MIDDLE  ALT=\"%283x+-+2%29%28+x+%2B+3+%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "not <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+-+2+%28+x+%2B+3+%29+=+0 ALIGN=MIDDLE  ALT=\"3x+-+2+%28+x+%2B+3+%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Thanks, remember to mark this as your solution if I got it! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );