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Simplifying (a + 2b + 3c)(3a + 2b + c) = 0 Multiply (a + 2b + 3c) * (3a + 2b + c) (a(3a + 2b + c) + 2b * (3a + 2b + c) + 3c * (3a + 2b + c)) = 0 ((3a * a + 2b * a + c * a) + 2b * (3a + 2b + c) + 3c * (3a + 2b + c)) = 0 Reorder the terms: ((2ab + ac + 3a2) + 2b * (3a + 2b + c) + 3c * (3a + 2b + c)) = 0 ((2ab + ac + 3a2) + 2b * (3a + 2b + c) + 3c * (3a + 2b + c)) = 0 (2ab + ac + 3a2 + (3a * 2b + 2b * 2b + c * 2b) + 3c * (3a + 2b + c)) = 0 Reorder the terms: (2ab + ac + 3a2 + (6ab + 2bc + 4b2) + 3c * (3a + 2b + c)) = 0 (2ab + ac + 3a2 + (6ab + 2bc + 4b2) + 3c * (3a + 2b + c)) = 0 (2ab + ac + 3a2 + 6ab + 2bc + 4b2 + (3a * 3c + 2b * 3c + c * 3c)) = 0 (2ab + ac + 3a2 + 6ab + 2bc + 4b2 + (9ac + 6bc + 3c2)) = 0 Reorder the terms: (2ab + 6ab + ac + 9ac + 3a2 + 2bc + 6bc + 4b2 + 3c2) = 0 Combine like terms: 2ab + 6ab = 8ab (8ab + ac + 9ac + 3a2 + 2bc + 6bc + 4b2 + 3c2) = 0 Combine like terms: ac + 9ac = 10ac (8ab + 10ac + 3a2 + 2bc + 6bc + 4b2 + 3c2) = 0 Combine like terms: 2bc + 6bc = 8bc (8ab + 10ac + 3a2 + 8bc + 4b2 + 3c2) = 0 Solving 8ab + 10ac + 3a2 + 8bc + 4b2 + 3c2 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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