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G(x)=(2x+3)(x+2)(x-1)
Find all values of x for which g(x)=0

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Final answer:

The values of x for which g(x)=0 are x = -3/2, -2, and 1.

Step-by-step explanation:

To find the values of x for which g(x)=0, we can set each factor of the given equation equal to zero and solve for x.

Setting (2x+3) = 0, we find x = -3/2.

Setting (x+2) = 0, we find x = -2.

Setting (x-1) = 0, we find x = 1.

Therefore, the values of x for which g(x)=0 are x = -3/2, -2, and 1.

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