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

Question

.(1 point)
Responses

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

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

x=2
and x=4
x equals 2 and x equals 4

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

Answer 1

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

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

Therefore, the values of \(x\) that make the equation equal to zero are \(x = -4\) and \(x = 2\).

So the correct response is:

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