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

Answer 1

To solve the equation \((x + 4)(x - 2) = 0\), we can use the Zero Product Property, which states that if a product of two factors is zero, at least one of the factors must be zero.

Setting each factor to zero gives us:

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

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

Among the provided responses, the correct one is:

• x=−4 and x=2 or x equals negative 4 and x equals 2.