Question: Solve an equation with unknown expression

Hi all guys, it is simple equation, I wanna get the expression of w=()^(1/4) which consists zg & fg. I use solve command but fails, could you please help me?

NULL

p := (1/24)*z*g[u]+(1/24)*f*g[z]-(1/144000)*w^4*(f*g[z]+z*g[u])

(1/24)*z*g[u]+(1/24)*f*g[z]-(1/144000)*w^4*(f*g[z]+z*g[u])

(1)

solve(p = 0, w)

2*375^(1/4), (2*I)*375^(1/4), -2*375^(1/4), -(2*I)*375^(1/4)

(2)

NULL

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