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"Solve. (3w+4)(9+w)=0"

A. w = -4/3 or w = -9
B. w = -3 or w = -4/9
C. w = -3 or w = -9
D. w = 4/3 or w = 9

1 Answer

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Final answer:

To solve the equation (3w+4)(9+w)=0, set each factor equal to zero and solve for w separately: w = -4/3 and w = -9.

Step-by-step explanation:

To solve the equation (3w+4)(9+w)=0, we need to set each factor equal to zero and solve for w separately.

First, set 3w+4=0.

Solve for w: 3w=-4 → w = -4/3.

Next, set 9+w=0.

Solve for w: w = -9.

So, the solutions to the equation (3w+4)(9+w)=0 are w = -4/3 and w = -9.

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