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Simplifying (a + b)(a + -1b)(b + -1a) = 0 Reorder the terms: (a + b)(a + -1b)(-1a + b) = 0 Multiply (a + b) * (a + -1b) (a(a + -1b) + b(a + -1b))(-1a + b) = 0 ((a * a + -1b * a) + b(a + -1b))(-1a + b) = 0 Reorder the terms: ((-1ab + a2) + b(a + -1b))(-1a + b) = 0 ((-1ab + a2) + b(a + -1b))(-1a + b) = 0 (-1ab + a2 + (a * b + -1b * b))(-1a + b) = 0 (-1ab + a2 + (ab + -1b2))(-1a + b) = 0 Reorder the terms: (-1ab + ab + a2 + -1b2)(-1a + b) = 0 Combine like terms: -1ab + ab = 0 (0 + a2 + -1b2)(-1a + b) = 0 (a2 + -1b2)(-1a + b) = 0 Multiply (a2 + -1b2) * (-1a + b) (a2(-1a + b) + -1b2 * (-1a + b)) = 0 ((-1a * a2 + b * a2) + -1b2 * (-1a + b)) = 0 Reorder the terms: ((a2b + -1a3) + -1b2 * (-1a + b)) = 0 ((a2b + -1a3) + -1b2 * (-1a + b)) = 0 (a2b + -1a3 + (-1a * -1b2 + b * -1b2)) = 0 (a2b + -1a3 + (1ab2 + -1b3)) = 0 Reorder the terms: (1ab2 + a2b + -1a3 + -1b3) = 0 (1ab2 + a2b + -1a3 + -1b3) = 0 Solving 1ab2 + a2b + -1a3 + -1b3 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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