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Simplifying (x + -1)(x + -1i)(x + i) = 0 Reorder the terms: (-1 + x)(x + -1i)(x + i) = 0 Reorder the terms: (-1 + x)(-1i + x)(x + i) = 0 Reorder the terms: (-1 + x)(-1i + x)(i + x) = 0 Multiply (-1 + x) * (-1i + x) (-1(-1i + x) + x(-1i + x))(i + x) = 0 ((-1i * -1 + x * -1) + x(-1i + x))(i + x) = 0 ((1i + -1x) + x(-1i + x))(i + x) = 0 (1i + -1x + (-1i * x + x * x))(i + x) = 0 (1i + -1x + (-1ix + x2))(i + x) = 0 Reorder the terms: (1i + -1ix + -1x + x2)(i + x) = 0 (1i + -1ix + -1x + x2)(i + x) = 0 Multiply (1i + -1ix + -1x + x2) * (i + x) (1i * (i + x) + -1ix * (i + x) + -1x * (i + x) + x2(i + x)) = 0 ((i * 1i + x * 1i) + -1ix * (i + x) + -1x * (i + x) + x2(i + x)) = 0 Reorder the terms: ((1ix + 1i2) + -1ix * (i + x) + -1x * (i + x) + x2(i + x)) = 0 ((1ix + 1i2) + -1ix * (i + x) + -1x * (i + x) + x2(i + x)) = 0 (1ix + 1i2 + (i * -1ix + x * -1ix) + -1x * (i + x) + x2(i + x)) = 0 Reorder the terms: (1ix + 1i2 + (-1ix2 + -1i2x) + -1x * (i + x) + x2(i + x)) = 0 (1ix + 1i2 + (-1ix2 + -1i2x) + -1x * (i + x) + x2(i + x)) = 0 (1ix + 1i2 + -1ix2 + -1i2x + (i * -1x + x * -1x) + x2(i + x)) = 0 (1ix + 1i2 + -1ix2 + -1i2x + (-1ix + -1x2) + x2(i + x)) = 0 (1ix + 1i2 + -1ix2 + -1i2x + -1ix + -1x2 + (i * x2 + x * x2)) = 0 (1ix + 1i2 + -1ix2 + -1i2x + -1ix + -1x2 + (ix2 + x3)) = 0 Reorder the terms: (1ix + -1ix + -1ix2 + ix2 + 1i2 + -1i2x + -1x2 + x3) = 0 Combine like terms: 1ix + -1ix = 0 (0 + -1ix2 + ix2 + 1i2 + -1i2x + -1x2 + x3) = 0 (-1ix2 + ix2 + 1i2 + -1i2x + -1x2 + x3) = 0 Combine like terms: -1ix2 + ix2 = 0 (0 + 1i2 + -1i2x + -1x2 + x3) = 0 (1i2 + -1i2x + -1x2 + x3) = 0 Solving 1i2 + -1i2x + -1x2 + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'x2' to each side of the equation. 1i2 + -1i2x + -1x2 + x2 + x3 = 0 + x2 Combine like terms: -1x2 + x2 = 0 1i2 + -1i2x + 0 + x3 = 0 + x2 1i2 + -1i2x + x3 = 0 + x2 Remove the zero: 1i2 + -1i2x + x3 = x2 Add '-1x3' to each side of the equation. 1i2 + -1i2x + x3 + -1x3 = x2 + -1x3 Combine like terms: x3 + -1x3 = 0 1i2 + -1i2x + 0 = x2 + -1x3 1i2 + -1i2x = x2 + -1x3 Reorder the terms: 1i2 + -1i2x + -1x2 + x3 = x2 + -1x2 + -1x3 + x3 Combine like terms: x2 + -1x2 = 0 1i2 + -1i2x + -1x2 + x3 = 0 + -1x3 + x3 1i2 + -1i2x + -1x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 1i2 + -1i2x + -1x2 + x3 = 0 The solution to this equation could not be determined.
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