Solve the factored quadratic equation 0 = -1/3 x * (x - 6)

Answer 1

To solve the factored quadratic equation \( 0 = -\frac{1}{3} x (x - 6) \), we can set each factor equal to zero.

1. The first factor is \( -\frac{1}{3} x = 0 \): \[ x = 0 \]

2. The second factor is \( x - 6 = 0 \): \[ x = 6 \]

Therefore, the solutions to the equation are: \[ x = 0 \quad \text{and} \quad x = 6 \]