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