If the system of linear equations x + 2ay + az = 0; x + 3by + bz = 0; x + 4cy + cz = 0 have a non-zero solution, then a, b, c_______.

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If the system of linear equations x + 2ay + az = 0; x + 3by + bz = 0; x + 4cy + cz = 0 have a non-zero solution, then a, b, c_______.