Using the zero product property, solve (v+5)(3v−21)=0.

Answer 1

To solve the equation \((v + 5)(3v - 21) = 0\) using the zero product property, we set each factor equal to zero:

1. Set the first factor equal to zero: \[ v + 5 = 0 \] Solving for \(v\): \[ v = -5 \]

2. Set the second factor equal to zero: \[ 3v - 21 = 0 \] Solving for \(v\): \[ 3v = 21 \] \[ v = \frac{21}{3} = 7 \]

Thus, the solutions to the equation \((v + 5)(3v - 21) = 0\) are: \[ v = -5 \quad \text{and} \quad v = 7 \]