Question

Find the values of x that make the following equation equal zero: (x+4)(x−2)=0%0D%0A(%0D%0A%0D%0A+%0D%0A4%0D%0A)%0D%0A(%0D%0A%0D%0A−%0D%0A2%0D%0A)%0D%0A=%0D%0A0%0D%0A .

Answer 1

The equation states that there are two factors, (x+4) and (x-2). The product of these two factors must be equal to zero in order for the entire equation to equal zero.

Therefore, we can set each factor equal to zero and solve for x:

x+4 = 0
x = -4

x-2 = 0
x = 2

So, the values of x that make the equation equal to zero are x = -4 and x = 2.