Find the values of x that make the following equation equal zero: (x+4)(x−2)=0

Question

.(1 point)
Responses

x=−4

and x=2
x equals negative 4 and x equals 2
x=−2
and x=−4
x equals negative 2 and x equals negative 4
x=−2
and x=4
x equals negative 2 and x equals 4
x=2
and x=4

Answer 1

To solve the equation \((x+4)(x−2)=0\), we set each factor equal to zero:

1. \(x + 4 = 0\)

   • This gives us \(x = -4\).

2. \(x - 2 = 0\)

   • This gives us \(x = 2\).

Thus, the values of \(x\) that make the equation equal to zero are:

\(x = -4\) and \(x = 2\).