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