Use the Zero Product Property to find the solutions to the equation (x+13)(x−6)=0.(1 point)Responsesx=−6and x=−13x is equal to negative 6 and x is equal to negative 13x=−6and x=13x is equal to negative 6 and x is equal to 13x=6and x=13x is equal to 6 and x is equal to 13x=6and x=−13

Answer 1

To solve the equation (x + 13)(x - 6) = 0 using the Zero Product Property, we set each factor equal to zero:

1. \(x + 13 = 0\)
2. \(x - 6 = 0\)

Now, we solve each equation:

1. For \(x + 13 = 0\): \[ x = -13 \]

2. For \(x - 6 = 0\): \[ x = 6 \]

The solutions to the equation are \(x = -13\) and \(x = 6\).

Thus, the correct response is:

• x = −13 and x = 6
• x is equal to negative 13 and x is equal to 6