Pasted

(1 - x) ^ 6 - (2x) ^ 6 = 0
((1 - x) ^ 3 + (2x) ^ 3) * ((1 - x) ^ 3 - (2x) ^ 3) = 0
(1 + x) * (1 - 3x) * (1 - 2x + x^2 - 2x + 2x^2 + 4x^2) * (1 - 2x + x^2 + 2x - 2x^2 + 4x^2) = 0
(1 + x) * (1 - 3x) * (1 - 4x + 7x^2) * (1 + 3x^2) = 0
 -1, 1/3, 2/7 ± i*sqrt(3) / 7, ± i*sqrt(3) / 3