Step 1 :Expand the equation: \(15v^2 - 11v = -2\)
Step 2 :Rearrange the equation: \(15v^2 - 11v + 2 = 0\)
Step 3 :Factor the quadratic equation: \((3v-2)(5v-1) = 0\)
Step 4 :Set each factor equal to zero: \(3v-2 = 0\) or \(5v-1 = 0\)
Step 5 :Solve for \(v\) in each equation: \(v = \frac{2}{3}\) or \(v = \frac{1}{5}\)
Step 6 :Therefore, the correct answer is \(v = \frac{2}{3}\) or \(v = \frac{1}{5}\)