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2u4 + 38u2 = 16u3 + 24u
∴ u3 - 8u2 + 19u - 12 = 0
∴ (u - 3)(u2 - 5u + 4) = 0
∴ (u - 3)(u - 4)(u - 1) = 0
∴ u ∈ {1, 3, 4}
* * *
Because u is a factor of both sides of the equation given,
u = 0 is also a solution.