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