document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138394>Question 138394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the answer to 2y(cubed)-18y(squared)+28y=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101069 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=101069\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your question is more correctly put: \"What are the answers to...\"  Since you have a cubic, or 3rd degree polynomial equation, the Fundamental Theorem of Algebra tells us there must be three roots.\r<BR>\n" );
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document.write( "In general terms, a cubic equation is a rather tiresome thing to have to solve.  Fortunately, however, your equation has a pair of common factors in every term:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%5E3-18y%5E2%2B28y=0 ALIGN=MIDDLE  ALT=\"2y%5E3-18y%5E2%2B28y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can factor out a <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 a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > from every term:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%28y%5E2-9y%2B14%29=0 ALIGN=MIDDLE  ALT=\"2y%28y%5E2-9y%2B14%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can divide both sides by 2 to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28y%5E2-9y%2B14%29=0 ALIGN=MIDDLE  ALT=\"y%28y%5E2-9y%2B14%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, the Zero Product Rule tells us that either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-9y%2B14=0 ALIGN=MIDDLE  ALT=\"y%5E2-9y%2B14=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But notice that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-9y%2B14=0 ALIGN=MIDDLE  ALT=\"y%5E2-9y%2B14=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is just a quadratic equation, and an easily factorable one at that. \r<BR>\n" );
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document.write( "So, 0 is one of the elements of your solution set, and the roots of the quadratic are the other two. </SPAN>\n" );
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