Solve the quadratic equation 5x(x+12)=0

Question

using the Zero Product Property.(1 point)
Responses

The solution set is x={0, 12}
.
The solution set is x={0, 12}
.

The solution set is x={5, 12}
.
The solution set is x={5, 12}
.

The solution set is x={−12, 0}
.
The solution set is x={−12, 0}
.

The solution set is x={112, 15}
.

Answer 1

To solve the quadratic equation \(5x(x + 12) = 0\) using the Zero Product Property, we set each factor equal to zero:

1. From the factor \(5x = 0\): \[ x = 0 \]

2. From the factor \(x + 12 = 0\): \[ x = -12 \]

Therefore, the solution set is: \[ {0, -12} \]

The correct response from the options given is:

The solution set is x = {−12, 0}.