An interesting functional equation

Calculus Level 4

Let f:RRf:\mathbb{R}\rightarrow\mathbb{R} be a continuous function such that

f(x)2f(x2)+f(x4)=x2f(x)-2f\left (\frac{x}{2}\right )+f\left (\frac{x}{4}\right )=x^{2}

Find f(3)f(0)f(3)-f(0).

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