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

The solution set is x = {0,6}.
The solution set is x = {0,-6}
The solution set is x = {-6,3}.
The solution set is x = {1/3,6}.

1 answer

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

  1. Set the first factor to zero: \[ -\frac{1}{3}x = 0 \] This simplifies to: \[ x = 0 \]

  2. Set the second factor to zero: \[ x - 6 = 0 \] This simplifies to: \[ x = 6 \]

Thus, the solutions for the equation are \( x = 0 \) and \( x = 6 \).

The solution set is \( x = {0, 6} \).

Therefore, the correct answer is: The solution set is \( x = {0, 6} \).