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Simplifying (x + -1a + 2)(x + -1a + 3) = 42 Reorder the terms: (2 + -1a + x)(x + -1a + 3) = 42 Reorder the terms: (2 + -1a + x)(3 + -1a + x) = 42 Multiply (2 + -1a + x) * (3 + -1a + x) (2(3 + -1a + x) + -1a * (3 + -1a + x) + x(3 + -1a + x)) = 42 ((3 * 2 + -1a * 2 + x * 2) + -1a * (3 + -1a + x) + x(3 + -1a + x)) = 42 ((6 + -2a + 2x) + -1a * (3 + -1a + x) + x(3 + -1a + x)) = 42 (6 + -2a + 2x + (3 * -1a + -1a * -1a + x * -1a) + x(3 + -1a + x)) = 42 Reorder the terms: (6 + -2a + 2x + (-3a + -1ax + 1a2) + x(3 + -1a + x)) = 42 (6 + -2a + 2x + (-3a + -1ax + 1a2) + x(3 + -1a + x)) = 42 (6 + -2a + 2x + -3a + -1ax + 1a2 + (3 * x + -1a * x + x * x)) = 42 Reorder the terms: (6 + -2a + 2x + -3a + -1ax + 1a2 + (-1ax + 3x + x2)) = 42 (6 + -2a + 2x + -3a + -1ax + 1a2 + (-1ax + 3x + x2)) = 42 Reorder the terms: (6 + -2a + -3a + -1ax + -1ax + 1a2 + 2x + 3x + x2) = 42 Combine like terms: -2a + -3a = -5a (6 + -5a + -1ax + -1ax + 1a2 + 2x + 3x + x2) = 42 Combine like terms: -1ax + -1ax = -2ax (6 + -5a + -2ax + 1a2 + 2x + 3x + x2) = 42 Combine like terms: 2x + 3x = 5x (6 + -5a + -2ax + 1a2 + 5x + x2) = 42 Solving 6 + -5a + -2ax + 1a2 + 5x + x2 = 42 Solving for variable 'a'. Reorder the terms: 6 + -42 + -5a + -2ax + 1a2 + 5x + x2 = 42 + -42 Combine like terms: 6 + -42 = -36 -36 + -5a + -2ax + 1a2 + 5x + x2 = 42 + -42 Combine like terms: 42 + -42 = 0 -36 + -5a + -2ax + 1a2 + 5x + x2 = 0 The solution to this equation could not be determined.
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