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Simplifying (a + b + c)(bc + ca + ab) = 9abc Reorder the terms: (a + b + c)(ab + ac + bc) = 9abc Multiply (a + b + c) * (ab + ac + bc) (a(ab + ac + bc) + b(ab + ac + bc) + c(ab + ac + bc)) = 9abc ((ab * a + ac * a + bc * a) + b(ab + ac + bc) + c(ab + ac + bc)) = 9abc Reorder the terms: ((abc + a2b + a2c) + b(ab + ac + bc) + c(ab + ac + bc)) = 9abc ((abc + a2b + a2c) + b(ab + ac + bc) + c(ab + ac + bc)) = 9abc (abc + a2b + a2c + (ab * b + ac * b + bc * b) + c(ab + ac + bc)) = 9abc Reorder the terms: (abc + a2b + a2c + (abc + ab2 + b2c) + c(ab + ac + bc)) = 9abc (abc + a2b + a2c + (abc + ab2 + b2c) + c(ab + ac + bc)) = 9abc (abc + a2b + a2c + abc + ab2 + b2c + (ab * c + ac * c + bc * c)) = 9abc (abc + a2b + a2c + abc + ab2 + b2c + (abc + ac2 + bc2)) = 9abc Reorder the terms: (abc + abc + abc + ab2 + ac2 + a2b + a2c + bc2 + b2c) = 9abc Combine like terms: abc + abc = 2abc (2abc + abc + ab2 + ac2 + a2b + a2c + bc2 + b2c) = 9abc Combine like terms: 2abc + abc = 3abc (3abc + ab2 + ac2 + a2b + a2c + bc2 + b2c) = 9abc Solving 3abc + ab2 + ac2 + a2b + a2c + bc2 + b2c = 9abc Solving for variable 'a'. Reorder the terms: 3abc + -9abc + ab2 + ac2 + a2b + a2c + bc2 + b2c = 9abc + -9abc Combine like terms: 3abc + -9abc = -6abc -6abc + ab2 + ac2 + a2b + a2c + bc2 + b2c = 9abc + -9abc Combine like terms: 9abc + -9abc = 0 -6abc + ab2 + ac2 + a2b + a2c + bc2 + b2c = 0 The solution to this equation could not be determined.
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