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Simplifying (x + -1)(x + -1i) + -2i = 0 Reorder the terms: (-1 + x)(x + -1i) + -2i = 0 Reorder the terms: (-1 + x)(-1i + x) + -2i = 0 Multiply (-1 + x) * (-1i + x) (-1(-1i + x) + x(-1i + x)) + -2i = 0 ((-1i * -1 + x * -1) + x(-1i + x)) + -2i = 0 ((1i + -1x) + x(-1i + x)) + -2i = 0 (1i + -1x + (-1i * x + x * x)) + -2i = 0 (1i + -1x + (-1ix + x2)) + -2i = 0 Reorder the terms: (1i + -1ix + -1x + x2) + -2i = 0 (1i + -1ix + -1x + x2) + -2i = 0 Reorder the terms: 1i + -2i + -1ix + -1x + x2 = 0 Combine like terms: 1i + -2i = -1i -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 'x' to each side of the equation. -1i + -1ix + -1x + x + x2 = 0 + x Combine like terms: -1x + x = 0 -1i + -1ix + 0 + x2 = 0 + x -1i + -1ix + x2 = 0 + x Remove the zero: -1i + -1ix + x2 = x Add '-1x2' to each side of the equation. -1i + -1ix + x2 + -1x2 = x + -1x2 Combine like terms: x2 + -1x2 = 0 -1i + -1ix + 0 = x + -1x2 -1i + -1ix = x + -1x2 Reorder the terms: -1i + -1ix + -1x + x2 = x + -1x + -1x2 + x2 Combine like terms: x + -1x = 0 -1i + -1ix + -1x + x2 = 0 + -1x2 + x2 -1i + -1ix + -1x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -1i + -1ix + -1x + x2 = 0 The solution to this equation could not be determined.
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