document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132044>Question 132044</A>: <I><SPAN STYLE=\"word-break: break-all;\"> WHAT IS THE ANSWER TO<BR>\n" );
document.write( "Y(3Y-8)(5Y+3)=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96422 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=96422\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given to solve:<BR>\n" );
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document.write( "y*(3y - 8)*(5y + 3) = 0<BR>\n" );
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document.write( "Note that this equation will be true if any of the three factors on the left side is equal to zero.<BR>\n" );
document.write( "Why??? Because a multiplication by a zero factor on the left side makes the entire left side<BR>\n" );
document.write( "equal to zero ... and therefore, it equals the right side ... which is zero.<BR>\n" );
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document.write( "So on the left side, if the first factor y is equal to zero, the entire left side becomes zero.<BR>\n" );
document.write( "Therefore, the equation will be true because it will reduce to 0 = 0. And so, y = 0 is one<BR>\n" );
document.write( "answer.<BR>\n" );
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document.write( "The next factor is 3y - 8. If this factor equals zero, the equation will also be true. So we can <BR>\n" );
document.write( "the equation:<BR>\n" );
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document.write( "3y - 8 = 0<BR>\n" );
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document.write( "by adding 8 to both sides to get rid of the -8 on the left side and make the equation:<BR>\n" );
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document.write( "3y = 8<BR>\n" );
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document.write( "and finally dividing both sides by 3 to get that:<BR>\n" );
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document.write( "y = 8/3<BR>\n" );
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document.write( "This is a second value of y that will satisfy the equation.<BR>\n" );
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document.write( "As the last answer we look at the third factor and set it equal to zero to get:<BR>\n" );
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document.write( "5y + 3 = 0<BR>\n" );
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document.write( "Get rid of the +3 on the left side by subtracting 3 from both sides to get:<BR>\n" );
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document.write( "5y = -3<BR>\n" );
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document.write( "Solve for y by dividing both sides by 5 and the result is:<BR>\n" );
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document.write( "y = -3/5<BR>\n" );
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document.write( "So this problem will be satisfied by three values of y ... y = 0; y = 8/3; and y = -3/5.<BR>\n" );
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document.write( "Hope this helps you to understand the problem and how it can be solved.<BR>\n" );
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