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