document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=422669>Question 422669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We are stumped<BR>\n" );
document.write( "Problem, solve equation:<BR>\n" );
document.write( "18y^2+24y+18=0<BR>\n" );
document.write( "we tried this<BR>\n" );
document.write( "18y^2+12y+12y+8=0<BR>\n" );
document.write( "6y(3y+2) 4(3y+2)=0<BR>\n" );
document.write( "(6y+4)(3y+2)=0<BR>\n" );
document.write( "2(3y+2)(3y+2)=0<BR>\n" );
document.write( "2(9y^2+4)=0<BR>\n" );
document.write( "18y^2+8=0<BR>\n" );
document.write( "-8=-8(from  both sides)<BR>\n" );
document.write( "18y^2=-8 we got this far<BR>\n" );
document.write( "but the answer is -2/3, where did we go wrong??? Help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #294973 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=294973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You made a mistake in thinking that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%2B2%29%283y%2B2%29 ALIGN=MIDDLE  ALT=\"%283y%2B2%29%283y%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiplies out to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9y%5E2%2B4 ALIGN=MIDDLE  ALT=\"9y%5E2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >; however, it really multiplies out to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9y%5E2%2B12y%2B4 ALIGN=MIDDLE  ALT=\"9y%5E2%2B12y%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18y%5E2%2B24y%2B8=0 ALIGN=MIDDLE  ALT=\"18y%5E2%2B24y%2B8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "Notice that the quadratic <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18y%5E2%2B24y%2B8 ALIGN=MIDDLE  ALT=\"18y%5E2%2B24y%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in the form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ay%5E2%2BBy%2BC ALIGN=MIDDLE  ALT=\"Ay%5E2%2BBy%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=18 ALIGN=MIDDLE  ALT=\"A=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=24 ALIGN=MIDDLE  ALT=\"B=24\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=8 ALIGN=MIDDLE  ALT=\"C=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's use the quadratic formula to solve for \"y\":\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 ALIGN=MIDDLE  ALT=\"y+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-%2824%29+%2B-+sqrt%28+%2824%29%5E2-4%2818%29%288%29+%29%29%2F%282%2818%29%29 ALIGN=MIDDLE  ALT=\"y+=+%28-%2824%29+%2B-+sqrt%28+%2824%29%5E2-4%2818%29%288%29+%29%29%2F%282%2818%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=18 ALIGN=MIDDLE  ALT=\"A=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=24 ALIGN=MIDDLE  ALT=\"B=24\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=8 ALIGN=MIDDLE  ALT=\"C=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-24+%2B-+sqrt%28+576-4%2818%29%288%29+%29%29%2F%282%2818%29%29 ALIGN=MIDDLE  ALT=\"y+=+%28-24+%2B-+sqrt%28+576-4%2818%29%288%29+%29%29%2F%282%2818%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24 ALIGN=MIDDLE  ALT=\"24\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=576 ALIGN=MIDDLE  ALT=\"576\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-24+%2B-+sqrt%28+576-576+%29%29%2F%282%2818%29%29 ALIGN=MIDDLE  ALT=\"y+=+%28-24+%2B-+sqrt%28+576-576+%29%29%2F%282%2818%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2818%29%288%29 ALIGN=MIDDLE  ALT=\"4%2818%29%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=576 ALIGN=MIDDLE  ALT=\"576\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-24+%2B-+sqrt%28+0+%29%29%2F%282%2818%29%29 ALIGN=MIDDLE  ALT=\"y+=+%28-24+%2B-+sqrt%28+0+%29%29%2F%282%2818%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=576 ALIGN=MIDDLE  ALT=\"576\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=576 ALIGN=MIDDLE  ALT=\"576\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-24+%2B-+sqrt%28+0+%29%29%2F%2836%29 ALIGN=MIDDLE  ALT=\"y+=+%28-24+%2B-+sqrt%28+0+%29%29%2F%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18 ALIGN=MIDDLE  ALT=\"18\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36 ALIGN=MIDDLE  ALT=\"36\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-24+%2B-+0%29%2F%2836%29 ALIGN=MIDDLE  ALT=\"y+=+%28-24+%2B-+0%29%2F%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-24+%2B+0%29%2F%2836%29 ALIGN=MIDDLE  ALT=\"y+=+%28-24+%2B+0%29%2F%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-24+-+0%29%2F%2836%29 ALIGN=MIDDLE  ALT=\"y+=+%28-24+-+0%29%2F%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the expression. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-24%29%2F%2836%29 ALIGN=MIDDLE  ALT=\"y+=+%28-24%29%2F%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=++%28-24%29%2F%2836%29 ALIGN=MIDDLE  ALT=\"y+=++%28-24%29%2F%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-2%2F3 ALIGN=MIDDLE  ALT=\"y+=+-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-2%2F3 ALIGN=MIDDLE  ALT=\"y+=+-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify. \r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-2%2F3 ALIGN=MIDDLE  ALT=\"y+=+-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you need more help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=I%20Need%20Algebra%20Help\">jim_thompson5910@hotmail.com</a>\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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