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Simplifying (x + 1)(x2 + -1a + 1) = 0 Reorder the terms: (1 + x)(x2 + -1a + 1) = 0 Reorder the terms: (1 + x)(1 + -1a + x2) = 0 Multiply (1 + x) * (1 + -1a + x2) (1(1 + -1a + x2) + x(1 + -1a + x2)) = 0 ((1 * 1 + -1a * 1 + x2 * 1) + x(1 + -1a + x2)) = 0 ((1 + -1a + 1x2) + x(1 + -1a + x2)) = 0 (1 + -1a + 1x2 + (1 * x + -1a * x + x2 * x)) = 0 Reorder the terms: (1 + -1a + 1x2 + (-1ax + 1x + x3)) = 0 (1 + -1a + 1x2 + (-1ax + 1x + x3)) = 0 Reorder the terms: (1 + -1a + -1ax + 1x + 1x2 + x3) = 0 (1 + -1a + -1ax + 1x + 1x2 + x3) = 0 Solving 1 + -1a + -1ax + 1x + 1x2 + x3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1a + -1ax + 1x + 1x2 + -1 + x3 = 0 + -1 Reorder the terms: 1 + -1 + -1a + -1ax + 1x + 1x2 + x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a + -1ax + 1x + 1x2 + x3 = 0 + -1 -1a + -1ax + 1x + 1x2 + x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1a + -1ax + 1x + 1x2 + x3 = -1 Add '-1x' to each side of the equation. -1a + -1ax + 1x + 1x2 + -1x + x3 = -1 + -1x Reorder the terms: -1a + -1ax + 1x + -1x + 1x2 + x3 = -1 + -1x Combine like terms: 1x + -1x = 0 -1a + -1ax + 0 + 1x2 + x3 = -1 + -1x -1a + -1ax + 1x2 + x3 = -1 + -1x Add '-1x2' to each side of the equation. -1a + -1ax + 1x2 + -1x2 + x3 = -1 + -1x + -1x2 Combine like terms: 1x2 + -1x2 = 0 -1a + -1ax + 0 + x3 = -1 + -1x + -1x2 -1a + -1ax + x3 = -1 + -1x + -1x2 Add '-1x3' to each side of the equation. -1a + -1ax + x3 + -1x3 = -1 + -1x + -1x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -1a + -1ax + 0 = -1 + -1x + -1x2 + -1x3 -1a + -1ax = -1 + -1x + -1x2 + -1x3 Reorder the terms: 1 + -1a + -1ax + x + x2 + x3 = -1 + -1x + -1x2 + -1x3 + 1 + x + x2 + x3 Reorder the terms: 1 + -1a + -1ax + x + x2 + x3 = -1 + 1 + -1x + x + -1x2 + x2 + -1x3 + x3 Combine like terms: -1 + 1 = 0 1 + -1a + -1ax + x + x2 + x3 = 0 + -1x + x + -1x2 + x2 + -1x3 + x3 1 + -1a + -1ax + x + x2 + x3 = -1x + x + -1x2 + x2 + -1x3 + x3 Combine like terms: -1x + x = 0 1 + -1a + -1ax + x + x2 + x3 = 0 + -1x2 + x2 + -1x3 + x3 1 + -1a + -1ax + x + x2 + x3 = -1x2 + x2 + -1x3 + x3 Combine like terms: -1x2 + x2 = 0 1 + -1a + -1ax + x + x2 + x3 = 0 + -1x3 + x3 1 + -1a + -1ax + x + x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 1 + -1a + -1ax + x + x2 + x3 = 0 The solution to this equation could not be determined.
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