Use the Zero Product Property to find the possible values of x

Question

for the equation (x−6)(x+4)=0
. Enter both solutions:(2 points)

Answer 1

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

1. \(x - 6 = 0\)
2. \(x + 4 = 0\)

Now, we solve each equation:

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

2. For \(x + 4 = 0\): \[ x = -4 \]

Thus, the possible values of \(x\) are \(6\) and \(-4\).

So, the solutions are: \[ \boxed{6 \text{ and } -4} \]