document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91625>Question 91625</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello out there,I need some help with some factoring problems,the first one is,Solve by factoring:-2Y(y+4)=0.The next one is,Solve by factoring:(m-6)(m+5)=0.The third one is,Solve by factoring:x^2+3x+2=0.And the last one is,Solve for factoring:4p(p-1)=0.Thanks to whoever can help me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66547 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=66547\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Hi,\r<BR>\n" );
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document.write( "Here you can make use of the fact that, if a*b = 0, then either a= 0 or b= 0\r<BR>\n" );
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document.write( "Answers:\r<BR>\n" );
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document.write( "-2Y(y+4)=0\r<BR>\n" );
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document.write( "==> either -2y = 0   or y+4 = 0\r<BR>\n" );
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document.write( "Take -2y = 0\r<BR>\n" );
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document.write( "Divide both sides by -2\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2y%2F-2+=+0%2F-2 ALIGN=MIDDLE  ALT=\"+-2y%2F-2+=+0%2F-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> y = 0\r<BR>\n" );
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document.write( "Now take y + 4 = 0\r<BR>\n" );
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document.write( "Subtract 4 from both sides....\r<BR>\n" );
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document.write( "y + 4 - 4 = 0 - 4\r<BR>\n" );
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document.write( "==> y = -4\r<BR>\n" );
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document.write( "So the solution is y = 0 or y = -4\r<BR>\n" );
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document.write( "(m-6)(m+5)=0\r<BR>\n" );
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document.write( "==> either  m-6 = 0   or m+5 = 0\r<BR>\n" );
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document.write( "m-6 = 0\r<BR>\n" );
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document.write( "Add 6 on both sides...\r<BR>\n" );
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document.write( "m - 6 + 6 = 0 + 6\r<BR>\n" );
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document.write( "==> m = 6\r<BR>\n" );
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document.write( "If m+5 = 0\r<BR>\n" );
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document.write( "Subtract 5 from both sides..\r<BR>\n" );
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document.write( "m + 5 - 5 = 0 - 5\r<BR>\n" );
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document.write( "==> m = -5\r<BR>\n" );
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document.write( "That is the solution is,\r<BR>\n" );
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document.write( " m= 6 or m = -5\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B3x%2B2=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B3x%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This can be written as  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x%2B+x%2B2=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x%2B+x%2B2=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=%28x%5E2%2B2x%29%2B+%28x%2B2%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B2x%29%2B+%28x%2B2%29=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=+x%28x+%2B+2%29+%2B+1+%28x+%2B+2+%29=+0+ ALIGN=MIDDLE  ALT=\"+x%28x+%2B+2%29+%2B+1+%28x+%2B+2+%29=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> (x +1 )(x+2) = 0 \r<BR>\n" );
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document.write( "==> x + 1 = 0   or x + 2 = 0\r<BR>\n" );
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document.write( "x + 1 = 0\r<BR>\n" );
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document.write( "x+ 1 - 1 = 0 -1\r<BR>\n" );
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document.write( "x = -1\r<BR>\n" );
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document.write( "x + 2 = 0\r<BR>\n" );
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document.write( "x + 2 - 2 = 0 - 2\r<BR>\n" );
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document.write( "==> x = -2\r<BR>\n" );
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document.write( "So the solution is x = -1 or x = -2\r<BR>\n" );
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document.write( "4p(p-1)=0\r<BR>\n" );
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document.write( "==> 4p = 0  or p - 1 = 0\r<BR>\n" );
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document.write( "4p = 0\r<BR>\n" );
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document.write( "divide both sides by 4\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p%2F4+=+0%2Fp ALIGN=MIDDLE  ALT=\"4p%2F4+=+0%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> p = 0\r<BR>\n" );
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document.write( "p - 1 = 0\r<BR>\n" );
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document.write( "==> p - 1 + 1 = 0 + 1\r<BR>\n" );
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document.write( "==> p = 1\r<BR>\n" );
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document.write( "So the solution is,   p = 0 or p = 1\r<BR>\n" );
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document.write( "Hope you found the explanation useful.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );