find the values of x that make the following equation to zero. (x+4) (x-2) = 0

Question

x= -2 and x=-4
x=-2 and x=4
x=2 and x=4
x=-4 and x=2

Answer 1

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

So, we set each factor equal to zero:

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

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

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

So the correct answer is: x=-4 and x=2.