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

Question

Responses

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

x=2 and x=4

Answer 1

To solve the equation \((x+4)(x−2)=0\), we need to find the values of \(x\) that make either factor equal to zero.

1. Set the first factor equal to zero: \[ x + 4 = 0 \implies x = -4 \]

2. Set the second factor equal to zero: \[ x - 2 = 0 \implies x = 2 \]

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

The correct response is: x=−4 and x=2 x equals negative 4 and x equals 2