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Simplifying (a + b + c)(a2 + ab + bc + c2) = 0 Reorder the terms: (a + b + c)(ab + a2 + bc + c2) = 0 Multiply (a + b + c) * (ab + a2 + bc + c2) (a(ab + a2 + bc + c2) + b(ab + a2 + bc + c2) + c(ab + a2 + bc + c2)) = 0 ((ab * a + a2 * a + bc * a + c2 * a) + b(ab + a2 + bc + c2) + c(ab + a2 + bc + c2)) = 0 Reorder the terms: ((abc + ac2 + a2b + a3) + b(ab + a2 + bc + c2) + c(ab + a2 + bc + c2)) = 0 ((abc + ac2 + a2b + a3) + b(ab + a2 + bc + c2) + c(ab + a2 + bc + c2)) = 0 (abc + ac2 + a2b + a3 + (ab * b + a2 * b + bc * b + c2 * b) + c(ab + a2 + bc + c2)) = 0 Reorder the terms: (abc + ac2 + a2b + a3 + (ab2 + a2b + bc2 + b2c) + c(ab + a2 + bc + c2)) = 0 (abc + ac2 + a2b + a3 + (ab2 + a2b + bc2 + b2c) + c(ab + a2 + bc + c2)) = 0 (abc + ac2 + a2b + a3 + ab2 + a2b + bc2 + b2c + (ab * c + a2 * c + bc * c + c2 * c)) = 0 (abc + ac2 + a2b + a3 + ab2 + a2b + bc2 + b2c + (abc + a2c + bc2 + c3)) = 0 Reorder the terms: (abc + abc + ab2 + ac2 + a2b + a2b + a2c + a3 + bc2 + bc2 + b2c + c3) = 0 Combine like terms: abc + abc = 2abc (2abc + ab2 + ac2 + a2b + a2b + a2c + a3 + bc2 + bc2 + b2c + c3) = 0 Combine like terms: a2b + a2b = 2a2b (2abc + ab2 + ac2 + 2a2b + a2c + a3 + bc2 + bc2 + b2c + c3) = 0 Combine like terms: bc2 + bc2 = 2bc2 (2abc + ab2 + ac2 + 2a2b + a2c + a3 + 2bc2 + b2c + c3) = 0 Solving 2abc + ab2 + ac2 + 2a2b + a2c + a3 + 2bc2 + b2c + c3 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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