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Simplifying [x + (2 + -1i)][x + -1(2 + -1i)] = 0 Remove parenthesis around (2 + -1i) [x + 2 + -1i][x + -1(2 + -1i)] = 0 Reorder the terms: [2 + -1i + x][x + -1(2 + -1i)] = 0 [2 + -1i + x][x + (2 * -1 + -1i * -1)] = 0 [2 + -1i + x][x + (-2 + 1i)] = 0 Reorder the terms: [2 + -1i + x][-2 + 1i + x] = 0 Multiply [2 + -1i + x] * [-2 + 1i + x] [2[-2 + 1i + x] + -1i * [-2 + 1i + x] + x[-2 + 1i + x]] = 0 [[-2 * 2 + 1i * 2 + x * 2] + -1i * [-2 + 1i + x] + x[-2 + 1i + x]] = 0 [[-4 + 2i + 2x] + -1i * [-2 + 1i + x] + x[-2 + 1i + x]] = 0 [-4 + 2i + 2x + [-2 * -1i + 1i * -1i + x * -1i] + x[-2 + 1i + x]] = 0 Reorder the terms: [-4 + 2i + 2x + [2i + -1ix + -1i2] + x[-2 + 1i + x]] = 0 [-4 + 2i + 2x + [2i + -1ix + -1i2] + x[-2 + 1i + x]] = 0 [-4 + 2i + 2x + 2i + -1ix + -1i2 + [-2 * x + 1i * x + x * x]] = 0 Reorder the terms: [-4 + 2i + 2x + 2i + -1ix + -1i2 + [1ix + -2x + x2]] = 0 [-4 + 2i + 2x + 2i + -1ix + -1i2 + [1ix + -2x + x2]] = 0 Reorder the terms: [-4 + 2i + 2i + -1ix + 1ix + -1i2 + 2x + -2x + x2] = 0 Combine like terms: 2i + 2i = 4i [-4 + 4i + -1ix + 1ix + -1i2 + 2x + -2x + x2] = 0 Combine like terms: -1ix + 1ix = 0 [-4 + 4i + 0 + -1i2 + 2x + -2x + x2] = 0 [-4 + 4i + -1i2 + 2x + -2x + x2] = 0 Combine like terms: 2x + -2x = 0 [-4 + 4i + -1i2 + 0 + x2] = 0 [-4 + 4i + -1i2 + x2] = 0 Solving -4 + 4i + -1i2 + x2 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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