Find the values of x that make the following equation equal zero: (x+4)(x−2)=0 .(1 point) Responses x=2 and x=4 x equals 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 negative 2 and x equals 4 x=−2 and x=−4

Answer 1

To solve the equation \((x + 4)(x - 2) = 0\), we can use the property that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero.

Setting each factor equal to zero gives us:

1. \(x + 4 = 0\)
   \[ x = -4 \]

2. \(x - 2 = 0\)
   \[ x = 2 \]

Thus, the solutions to the equation \((x + 4)(x - 2) = 0\) are \(x = -4\) and \(x = 2\).

The correct response is: x = -4 and x = 2 (or, in another phrasing, x equals negative 4 and x equals 2).