document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124607>Question 124607</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am working on solving linear and quadratic equations. I need help with this problem:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%2B1%29%28over%293y%28squared%29-4y-4++%2B++%289%29%28over%299y%28squared%29-4++=++%282y-2%29%28over%293y%28squared%29-8y%2B4 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I believe the CD:(y-2)(3y-2)(3y+2)\r<BR>\n" );
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document.write( "Please help solve. Thanks.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91485 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=91485\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume you mean:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%2B1%29%2F%283y%5E2-4y-4%29 ALIGN=MIDDLE  ALT=\"%283y%2B1%29%2F%283y%5E2-4y-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  +  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%289y%5E2-4%29 ALIGN=MIDDLE  ALT=\"9%2F%289y%5E2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282y-2%29%2F%283y%5E2-8y%2B4%29 ALIGN=MIDDLE  ALT=\"%282y-2%29%2F%283y%5E2-8y%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor the denominators:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%2B1%29%2F%28%283y%2B2%29%28y-2%29%29 ALIGN=MIDDLE  ALT=\"%283y%2B1%29%2F%28%283y%2B2%29%28y-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  +  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%28%283y-2%29%283y%2B2%29%29 ALIGN=MIDDLE  ALT=\"9%2F%28%283y-2%29%283y%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282y-2%29%2F%28%283y-2%29%28y-2%29+%29 ALIGN=MIDDLE  ALT=\"%282y-2%29%2F%28%283y-2%29%28y-2%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You're right about the common denominator, multiply each term by that:<BR>\n" );
document.write( "(y-2)(3y-2)(3y+2)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%2B1%29%2F%28%283y%2B2%29%28y-2%29%29 ALIGN=MIDDLE  ALT=\"%283y%2B1%29%2F%28%283y%2B2%29%28y-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  +  (y-2)(3y-2)(3y+2)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%28%283y-2%29%283y%2B2%29%29 ALIGN=MIDDLE  ALT=\"9%2F%28%283y-2%29%283y%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  =  (y-2)(3y-2)(3y+2)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282y-2%29%2F%28%283y-2%29%28y-2%29+%29 ALIGN=MIDDLE  ALT=\"%282y-2%29%2F%28%283y-2%29%28y-2%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cancel out the denominators, leaving:<BR>\n" );
document.write( "(3y-2)(3y+1) + 9(y-2) = (3y+2)(2y-2)<BR>\n" );
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document.write( "FOIL<BR>\n" );
document.write( "(9y^2 - 3y - 2) + (9y-18) = 6y^2 - 2y - 4<BR>\n" );
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document.write( "Combine like terms on the left<BR>\n" );
document.write( "9y^2 - 6y^2 - 3y + 9y + 2y - 2 - 18 + 4 = 0<BR>\n" );
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document.write( "3y^2 + 8y - 16 = 0<BR>\n" );
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document.write( "Factors to:<BR>\n" );
document.write( "(3y - 4)(y + 4) = 0<BR>\n" );
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document.write( "3y = +4<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "y = -4<BR>\n" );
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document.write( "I checked the y=-4 solution in the original equation.<BR>\n" );
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document.write( "Did this help you?<BR>\n" );
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