Solve the factored quadratic equation 0=−13x(x−6).(1 point)

Question

Responses

The solution set is x={0,−6}.
The solution set is x equals left brace neagtive 0 comma negative 6 right brace .

The solution set is x={0,6}.
The solution set is x equals left brace 0 comma 6 right brace .

The solution set is x={−6,3}.
The solution set is x equals left brace neagtive 6 comma 3 right brace .

The solution set is x={13,6}.

Answer 1

To solve the factored quadratic equation \(0 = -13x(x - 6)\), we will set each factor equal to zero.

1. The first factor is \(-13x\). Setting it to zero gives: \[ -13x = 0 \implies x = 0 \]

2. The second factor is \((x - 6)\). Setting it to zero gives: \[ x - 6 = 0 \implies x = 6 \]

Now we have the solutions from both factors:

• \(x = 0\)
• \(x = 6\)

Thus, the solution set is \({0, 6}\).

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