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 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 negative 4

x=−2
and x=4

Answer 1

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

1. \(x + 4 = 0\)

   • Solving this gives \(x = -4\).

2. \(x - 2 = 0\)

   • Solving this gives \(x = 2\).

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

So, the correct response is: x=−4 and x=2.