[25] - Algebraic Equations for and from Math Contests

Να λυθεί η εξίσωση: $$\left(1 + \sqrt{x + 6}\right) \left(1 + \frac{\sqrt{28x - 3}}{\sqrt{x + 6}}\right) \left(1 + \frac{9}{\sqrt[4]{28x - 3}}\right) = 256.$$