Solve the quadratic equation (x+6)(x−4)=0

Question

using the Zero Product Property.(1 point)
Responses

The solution set is {−4, 6}
.
The solution set is {−4, 6}
.

The solution set is {0, 2}
.
The solution set is {0, 2}
.

The solution set is {−6, 4}
.
The solution set is {−6, 4}
.

There are no solutions to this equation.

Answer 1

To solve the quadratic equation \((x+6)(x−4)=0\) using the Zero Product Property, we set each factor equal to zero:

1. \(x + 6 = 0\)

   • Solving this gives: \[x = -6\]

2. \(x - 4 = 0\)

   • Solving this gives: \[x = 4\]

Thus, the solution set is \({-6, 4}\).

Therefore, the correct response is: The solution set is {−6, 4}.