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