Question

Solve the factored quadratic equation 0=−\(\frac{1}{3}x\)(x−6)
.(1 point)

Answer 1

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

1. Set the first factor equal to zero:
\[
-\frac{1}{3}x = 0
\]
Multiplying both sides by -3 to eliminate the fraction gives us:
\[
x = 0
\]

2. Set the second factor equal to zero:
\[
x - 6 = 0
\]
Adding 6 to both sides gives us:
\[
x = 6
\]

Thus, the solutions to the equation \(0 = -\frac{1}{3}x(x - 6)\) are:
\[
x = 0 \quad \text{and} \quad x = 6
\]