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MathNet 2018-part-02 — 181 problems (EN–VI) Question 60

Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)

Question 60

Determine all real numbers $x$ such that
$$
(x - 1009)^3 + (2x - 1009)^3 + (2018 - 3x)^3 = 0.
$$