SOLUTION: How do you solve x^3-4x=0?

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Question 709935: How do you solve x^3-4x=0?
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3-4x=0
Factor. First the greatest common factor of x:
x%28x%5E2-4%29=0
The second factor is a difference of squares and can be factored using the pattern, a%5E2-b%5E2+=+%28a%2Bb%29%28a-b%29, with the "a" being "x" and the "b" being "2":
x%28x%2B2%29%28x-2%29=0

Next we use the Zero Product Property which tells us that this product can be zero only if one (or more) of the factors is zero. So:
x = 0 or x+2 = 0 or x-2 = 0
Solving these we get:
x = 0 or x = -2 or x = 2