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Simplifying x3 + 3(i + 1) * x2 + -1(3i + 2) * x + 6 = 0 Reorder the terms: x3 + 3(1 + i) * x2 + -1(3i + 2) * x + 6 = 0 Reorder the terms for easier multiplication: x3 + 3x2(1 + i) + -1(3i + 2) * x + 6 = 0 x3 + (1 * 3x2 + i * 3x2) + -1(3i + 2) * x + 6 = 0 Reorder the terms: x3 + (3ix2 + 3x2) + -1(3i + 2) * x + 6 = 0 x3 + (3ix2 + 3x2) + -1(3i + 2) * x + 6 = 0 Reorder the terms: x3 + 3ix2 + 3x2 + -1(2 + 3i) * x + 6 = 0 Reorder the terms for easier multiplication: x3 + 3ix2 + 3x2 + -1x(2 + 3i) + 6 = 0 x3 + 3ix2 + 3x2 + (2 * -1x + 3i * -1x) + 6 = 0 Reorder the terms: x3 + 3ix2 + 3x2 + (-3ix + -2x) + 6 = 0 x3 + 3ix2 + 3x2 + (-3ix + -2x) + 6 = 0 Reorder the terms: 6 + -3ix + 3ix2 + -2x + 3x2 + x3 = 0 Solving 6 + -3ix + 3ix2 + -2x + 3x2 + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -3ix + 3ix2 + -2x + 3x2 + -6 + x3 = 0 + -6 Reorder the terms: 6 + -6 + -3ix + 3ix2 + -2x + 3x2 + x3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3ix + 3ix2 + -2x + 3x2 + x3 = 0 + -6 -3ix + 3ix2 + -2x + 3x2 + x3 = 0 + -6 Combine like terms: 0 + -6 = -6 -3ix + 3ix2 + -2x + 3x2 + x3 = -6 Add '2x' to each side of the equation. -3ix + 3ix2 + -2x + 3x2 + 2x + x3 = -6 + 2x Reorder the terms: -3ix + 3ix2 + -2x + 2x + 3x2 + x3 = -6 + 2x Combine like terms: -2x + 2x = 0 -3ix + 3ix2 + 0 + 3x2 + x3 = -6 + 2x -3ix + 3ix2 + 3x2 + x3 = -6 + 2x Add '-3x2' to each side of the equation. -3ix + 3ix2 + 3x2 + -3x2 + x3 = -6 + 2x + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3ix + 3ix2 + 0 + x3 = -6 + 2x + -3x2 -3ix + 3ix2 + x3 = -6 + 2x + -3x2 Add '-1x3' to each side of the equation. -3ix + 3ix2 + x3 + -1x3 = -6 + 2x + -3x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -3ix + 3ix2 + 0 = -6 + 2x + -3x2 + -1x3 -3ix + 3ix2 = -6 + 2x + -3x2 + -1x3 Reorder the terms: 6 + -3ix + 3ix2 + -2x + 3x2 + x3 = -6 + 2x + -3x2 + -1x3 + 6 + -2x + 3x2 + x3 Reorder the terms: 6 + -3ix + 3ix2 + -2x + 3x2 + x3 = -6 + 6 + 2x + -2x + -3x2 + 3x2 + -1x3 + x3 Combine like terms: -6 + 6 = 0 6 + -3ix + 3ix2 + -2x + 3x2 + x3 = 0 + 2x + -2x + -3x2 + 3x2 + -1x3 + x3 6 + -3ix + 3ix2 + -2x + 3x2 + x3 = 2x + -2x + -3x2 + 3x2 + -1x3 + x3 Combine like terms: 2x + -2x = 0 6 + -3ix + 3ix2 + -2x + 3x2 + x3 = 0 + -3x2 + 3x2 + -1x3 + x3 6 + -3ix + 3ix2 + -2x + 3x2 + x3 = -3x2 + 3x2 + -1x3 + x3 Combine like terms: -3x2 + 3x2 = 0 6 + -3ix + 3ix2 + -2x + 3x2 + x3 = 0 + -1x3 + x3 6 + -3ix + 3ix2 + -2x + 3x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 6 + -3ix + 3ix2 + -2x + 3x2 + x3 = 0 The solution to this equation could not be determined.
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