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MathNet 2009-part-02 — 175 problems (EN–VI) Question 162

Math Olympiad Vault · MathNet 2009-part-02 — 175 problems (EN–VI)

Question 162

Solve the equation
$$
(x^2 - x + 1)(4y^2 + 6y + 4)(4z^2 - 12z + 25) = 21
$$
in the set of real numbers.