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Simplifying (x + 1 + i)(x + -1 + -1i) = 0 Reorder the terms: (1 + i + x)(x + -1 + -1i) = 0 Reorder the terms: (1 + i + x)(-1 + -1i + x) = 0 Multiply (1 + i + x) * (-1 + -1i + x) (1(-1 + -1i + x) + i(-1 + -1i + x) + x(-1 + -1i + x)) = 0 ((-1 * 1 + -1i * 1 + x * 1) + i(-1 + -1i + x) + x(-1 + -1i + x)) = 0 ((-1 + -1i + 1x) + i(-1 + -1i + x) + x(-1 + -1i + x)) = 0 (-1 + -1i + 1x + (-1 * i + -1i * i + x * i) + x(-1 + -1i + x)) = 0 Reorder the terms: (-1 + -1i + 1x + (-1i + ix + -1i2) + x(-1 + -1i + x)) = 0 (-1 + -1i + 1x + (-1i + ix + -1i2) + x(-1 + -1i + x)) = 0 (-1 + -1i + 1x + -1i + ix + -1i2 + (-1 * x + -1i * x + x * x)) = 0 Reorder the terms: (-1 + -1i + 1x + -1i + ix + -1i2 + (-1ix + -1x + x2)) = 0 (-1 + -1i + 1x + -1i + ix + -1i2 + (-1ix + -1x + x2)) = 0 Reorder the terms: (-1 + -1i + -1i + ix + -1ix + -1i2 + 1x + -1x + x2) = 0 Combine like terms: -1i + -1i = -2i (-1 + -2i + ix + -1ix + -1i2 + 1x + -1x + x2) = 0 Combine like terms: ix + -1ix = 0 (-1 + -2i + 0 + -1i2 + 1x + -1x + x2) = 0 (-1 + -2i + -1i2 + 1x + -1x + x2) = 0 Combine like terms: 1x + -1x = 0 (-1 + -2i + -1i2 + 0 + x2) = 0 (-1 + -2i + -1i2 + x2) = 0 Solving -1 + -2i + -1i2 + x2 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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