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Simplifying (x + (2 + i))(x + -1(2 + -1i)) = 0 Remove parenthesis around (2 + i) (x + 2 + i)(x + -1(2 + -1i)) = 0 Reorder the terms: (2 + i + x)(x + -1(2 + -1i)) = 0 (2 + i + x)(x + (2 * -1 + -1i * -1)) = 0 (2 + i + x)(x + (-2 + 1i)) = 0 Reorder the terms: (2 + i + x)(-2 + 1i + x) = 0 Multiply (2 + i + x) * (-2 + 1i + x) (2(-2 + 1i + x) + i(-2 + 1i + x) + x(-2 + 1i + x)) = 0 ((-2 * 2 + 1i * 2 + x * 2) + i(-2 + 1i + x) + x(-2 + 1i + x)) = 0 ((-4 + 2i + 2x) + i(-2 + 1i + x) + x(-2 + 1i + x)) = 0 (-4 + 2i + 2x + (-2 * i + 1i * i + x * i) + x(-2 + 1i + x)) = 0 Reorder the terms: (-4 + 2i + 2x + (-2i + ix + 1i2) + x(-2 + 1i + x)) = 0 (-4 + 2i + 2x + (-2i + ix + 1i2) + x(-2 + 1i + x)) = 0 (-4 + 2i + 2x + -2i + ix + 1i2 + (-2 * x + 1i * x + x * x)) = 0 Reorder the terms: (-4 + 2i + 2x + -2i + ix + 1i2 + (1ix + -2x + x2)) = 0 (-4 + 2i + 2x + -2i + ix + 1i2 + (1ix + -2x + x2)) = 0 Reorder the terms: (-4 + 2i + -2i + ix + 1ix + 1i2 + 2x + -2x + x2) = 0 Combine like terms: 2i + -2i = 0 (-4 + 0 + ix + 1ix + 1i2 + 2x + -2x + x2) = 0 (-4 + ix + 1ix + 1i2 + 2x + -2x + x2) = 0 Combine like terms: ix + 1ix = 2ix (-4 + 2ix + 1i2 + 2x + -2x + x2) = 0 Combine like terms: 2x + -2x = 0 (-4 + 2ix + 1i2 + 0 + x2) = 0 (-4 + 2ix + 1i2 + x2) = 0 Solving -4 + 2ix + 1i2 + x2 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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