Solve for v.

Question

v(3v − 7) = 0

Write your answers as integers or as proper or improper fractions in simplest form.

v =
or v =

Answer 1

To solve the equation \( v(3v - 7) = 0 \), we can set each factor equal to zero.

1. Set the first factor equal to zero: \[ v = 0 \]

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

So the solutions are: \[ v = 0 \quad \text{or} \quad v = \frac{7}{3} \]

The final answer is: \[ v = 0 \quad \text{or} \quad v = \frac{7}{3} \]