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