Great solution, and nice usage of the identity 3^3 + 4^3 + 5^3 = 6^3. However, the last step kind of irritates in terms of complex analysis, as there are 3 solutions for x. Those solutions are: 606, 606*e^(2i*pi/3) and 606*e^(-2i*pi/3). The general form of the solutions is 606*e^(5ni*pi/6), when n is an integer. Those 3 solutions form a circle when put in the complex plane, which is logical following the e^ix identity. Definitely a topic worth reading about! If anyone has any questions, I really love the subject so will be happy to answer
