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

Question

using the Zero Product Property.(1 point)
Responses

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

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

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

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

Answer 1

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

1. \( 5x = 0 \)
2. \( x + 12 = 0 \)

Now, we solve each equation:

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

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

Thus, the solution set is \( x = { 0, -12 } \).

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