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.