How do you solve these kind of questions?

[dry gyro]

What is the method for it? I need the full solution to understand Determine all values ​​of this function if
x =
2√x. The answer must be without potencies.

[dry gyro]

I really dont know

Im stuck

The answer says 0 and 2

[orchid stone]

I don’t understand what you mean with x equals 2sqr(x)

[sharp wyvern]

x=2√x, x²=4x, x=4.

Now, a^(b/c) is the cth root of a^b, so 4(2/3)=³√4²=³√16, multiply by ³√½, so ³√8=2. I am not aware of how zero would be an answer, as this would mean that either 2^⅔=0 or 2^-⅓=0.

[dry gyro]

Thanks to your idea i got this. But it is still not the same as the answer

[dry gyro]

determine all values ​​of x^2/3 * 2^-1/3 if x=2*x^1/2. the answer must be without powers

[dry gyro]

.