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

1 answer

To solve this equation, we need to find the values of x that satisfy the equation:

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

First, let's factor the expression:

(x^2 - 4) equals (x + 2)(x - 2)

So, the equation becomes:

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

Now we have two factors:

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

Solving for x:

x + 2 = 0
x = -2

x - 2 = 0
x = 2

Therefore, the solutions to the equation are x = -2 and x = 2.