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Simplifying (x + -1 + -1i)(x + -1 + i)(x + 1 + -1i) + -1x * x * x * x + -4 = 0 Reorder the terms: (-1 + -1i + x)(x + -1 + i)(x + 1 + -1i) + -1x * x * x * x + -4 = 0 Reorder the terms: (-1 + -1i + x)(-1 + i + x)(x + 1 + -1i) + -1x * x * x * x + -4 = 0 Reorder the terms: (-1 + -1i + x)(-1 + i + x)(1 + -1i + x) + -1x * x * x * x + -4 = 0 Multiply (-1 + -1i + x) * (-1 + i + x) (-1(-1 + i + x) + -1i * (-1 + i + x) + x(-1 + i + x))(1 + -1i + x) + -1x * x * x * x + -4 = 0 ((-1 * -1 + i * -1 + x * -1) + -1i * (-1 + i + x) + x(-1 + i + x))(1 + -1i + x) + -1x * x * x * x + -4 = 0 ((1 + -1i + -1x) + -1i * (-1 + i + x) + x(-1 + i + x))(1 + -1i + x) + -1x * x * x * x + -4 = 0 (1 + -1i + -1x + (-1 * -1i + i * -1i + x * -1i) + x(-1 + i + x))(1 + -1i + x) + -1x * x * x * x + -4 = 0 Reorder the terms: (1 + -1i + -1x + (1i + -1ix + -1i2) + x(-1 + i + x))(1 + -1i + x) + -1x * x * x * x + -4 = 0 (1 + -1i + -1x + (1i + -1ix + -1i2) + x(-1 + i + x))(1 + -1i + x) + -1x * x * x * x + -4 = 0 (1 + -1i + -1x + 1i + -1ix + -1i2 + (-1 * x + i * x + x * x))(1 + -1i + x) + -1x * x * x * x + -4 = 0 Reorder the terms: (1 + -1i + -1x + 1i + -1ix + -1i2 + (ix + -1x + x2))(1 + -1i + x) + -1x * x * x * x + -4 = 0 (1 + -1i + -1x + 1i + -1ix + -1i2 + (ix + -1x + x2))(1 + -1i + x) + -1x * x * x * x + -4 = 0 Reorder the terms: (1 + -1i + 1i + -1ix + ix + -1i2 + -1x + -1x + x2)(1 + -1i + x) + -1x * x * x * x + -4 = 0 Combine like terms: -1i + 1i = 0 (1 + 0 + -1ix + ix + -1i2 + -1x + -1x + x2)(1 + -1i + x) + -1x * x * x * x + -4 = 0 (1 + -1ix + ix + -1i2 + -1x + -1x + x2)(1 + -1i + x) + -1x * x * x * x + -4 = 0 Combine like terms: -1ix + ix = 0 (1 + 0 + -1i2 + -1x + -1x + x2)(1 + -1i + x) + -1x * x * x * x + -4 = 0 (1 + -1i2 + -1x + -1x + x2)(1 + -1i + x) + -1x * x * x * x + -4 = 0 Combine like terms: -1x + -1x = -2x (1 + -1i2 + -2x + x2)(1 + -1i + x) + -1x * x * x * x + -4 = 0 Multiply (1 + -1i2 + -2x + x2) * (1 + -1i + x) (1(1 + -1i + x) + -1i2 * (1 + -1i + x) + -2x * (1 + -1i + x) + x2(1 + -1i + x)) + -1x * x * x * x + -4 = 0 ((1 * 1 + -1i * 1 + x * 1) + -1i2 * (1 + -1i + x) + -2x * (1 + -1i + x) + x2(1 + -1i + x)) + -1x * x * x * x + -4 = 0 ((1 + -1i + 1x) + -1i2 * (1 + -1i + x) + -2x * (1 + -1i + x) + x2(1 + -1i + x)) + -1x * x * x * x + -4 = 0 (1 + -1i + 1x + (1 * -1i2 + -1i * -1i2 + x * -1i2) + -2x * (1 + -1i + x) + x2(1 + -1i + x)) + -1x * x * x * x + -4 = 0 Reorder the terms: (1 + -1i + 1x + (-1i2 + -1i2x + 1i3) + -2x * (1 + -1i + x) + x2(1 + -1i + x)) + -1x * x * x * x + -4 = 0 (1 + -1i + 1x + (-1i2 + -1i2x + 1i3) + -2x * (1 + -1i + x) + x2(1 + -1i + x)) + -1x * x * x * x + -4 = 0 (1 + -1i + 1x + -1i2 + -1i2x + 1i3 + (1 * -2x + -1i * -2x + x * -2x) + x2(1 + -1i + x)) + -1x * x * x * x + -4 = 0 Reorder the terms: (1 + -1i + 1x + -1i2 + -1i2x + 1i3 + (2ix + -2x + -2x2) + x2(1 + -1i + x)) + -1x * x * x * x + -4 = 0 (1 + -1i + 1x + -1i2 + -1i2x + 1i3 + (2ix + -2x + -2x2) + x2(1 + -1i + x)) + -1x * x * x * x + -4 = 0 (1 + -1i + 1x + -1i2 + -1i2x + 1i3 + 2ix + -2x + -2x2 + (1 * x2 + -1i * x2 + x * x2)) + -1x * x * x * x + -4 = 0 Reorder the terms: (1 + -1i + 1x + -1i2 + -1i2x + 1i3 + 2ix + -2x + -2x2 + (-1ix2 + 1x2 + x3)) + -1x * x * x * x + -4 = 0 (1 + -1i + 1x + -1i2 + -1i2x + 1i3 + 2ix + -2x + -2x2 + (-1ix2 + 1x2 + x3)) + -1x * x * x * x + -4 = 0 Reorder the terms: (1 + -1i + 2ix + -1ix2 + -1i2 + -1i2x + 1i3 + 1x + -2x + -2x2 + 1x2 + x3) + -1x * x * x * x + -4 = 0 Combine like terms: 1x + -2x = -1x (1 + -1i + 2ix + -1ix2 + -1i2 + -1i2x + 1i3 + -1x + -2x2 + 1x2 + x3) + -1x * x * x * x + -4 = 0 Combine like terms: -2x2 + 1x2 = -1x2 (1 + -1i + 2ix + -1ix2 + -1i2 + -1i2x + 1i3 + -1x + -1x2 + x3) + -1x * x * x * x + -4 = 0 Multiply x * x 1 + -1i + 2ix + -1ix2 + -1i2 + -1i2x + 1i3 + -1x + -1x2 + x3 + -1x2 * x * x + -4 = 0 Multiply x2 * x 1 + -1i + 2ix + -1ix2 + -1i2 + -1i2x + 1i3 + -1x + -1x2 + x3 + -1x3 * x + -4 = 0 Multiply x3 * x 1 + -1i + 2ix + -1ix2 + -1i2 + -1i2x + 1i3 + -1x + -1x2 + x3 + -1x4 + -4 = 0 Reorder the terms: 1 + -4 + -1i + 2ix + -1ix2 + -1i2 + -1i2x + 1i3 + -1x + -1x2 + x3 + -1x4 = 0 Combine like terms: 1 + -4 = -3 -3 + -1i + 2ix + -1ix2 + -1i2 + -1i2x + 1i3 + -1x + -1x2 + x3 + -1x4 = 0 Solving -3 + -1i + 2ix + -1ix2 + -1i2 + -1i2x + 1i3 + -1x + -1x2 + x3 + -1x4 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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