x(x+4)(x-2)=0

Question

x cannot = 0

Answer 1

The answers are -4 and 2.  Thanks!

 

Answer 2

The values of x that give zero besides x=0 are x = -4 and x=2.  Why?  The "zero factor property" tells us that:

 

a*b=0    if either a=0 or b=0. 

 

In this case we have 3 factors: x, (x+4) and (x-2), so x(x+4)(x-2) = 0 if any of the factors is zero

 

x=0

 

(x+4) = 0 when x = -4

 

(x-2) = 0 when x = 2