SOLUTION: WHAT IS THE ANSWER TO Y(3Y-8)(5Y+3)=0

Question 132044: WHAT IS THE ANSWER TO
Y(3Y-8)(5Y+3)=0
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given to solve:
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y*(3y - 8)*(5y + 3) = 0
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Note that this equation will be true if any of the three factors on the left side is equal to zero.
Why??? Because a multiplication by a zero factor on the left side makes the entire left side
equal to zero ... and therefore, it equals the right side ... which is zero.
.
So on the left side, if the first factor y is equal to zero, the entire left side becomes zero.
Therefore, the equation will be true because it will reduce to 0 = 0. And so, y = 0 is one
answer.
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The next factor is 3y - 8. If this factor equals zero, the equation will also be true. So we can
the equation:
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3y - 8 = 0
.
by adding 8 to both sides to get rid of the -8 on the left side and make the equation:
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3y = 8
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and finally dividing both sides by 3 to get that:
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y = 8/3
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This is a second value of y that will satisfy the equation.
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As the last answer we look at the third factor and set it equal to zero to get:
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5y + 3 = 0
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Get rid of the +3 on the left side by subtracting 3 from both sides to get:
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5y = -3
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Solve for y by dividing both sides by 5 and the result is:
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y = -3/5
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So this problem will be satisfied by three values of y ... y = 0; y = 8/3; and y = -3/5.
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Hope this helps you to understand the problem and how it can be solved.
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