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