Question 310411
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Factor the numerator:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ f(x)\ =\ \frac{x(x\ +\ 6)(x\ -\ 6)}{(x\ +\ 3)^2}]


Then set the function equal to zero and multiply by the denominator:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x(x\ +\ 6)(x\ -\ 6)\ =\ 0]


Hence,


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 0]


or


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ -6]


or


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 6]


Note:  I put parentheses around your numerator so that the equation editor what parts go together.



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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