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Simplifying (x + 2)(x + i)(x + -1i) = 0 Reorder the terms: (2 + x)(x + i)(x + -1i) = 0 Reorder the terms: (2 + x)(i + x)(x + -1i) = 0 Reorder the terms: (2 + x)(i + x)(-1i + x) = 0 Multiply (2 + x) * (i + x) (2(i + x) + x(i + x))(-1i + x) = 0 ((i * 2 + x * 2) + x(i + x))(-1i + x) = 0 ((2i + 2x) + x(i + x))(-1i + x) = 0 (2i + 2x + (i * x + x * x))(-1i + x) = 0 (2i + 2x + (ix + x2))(-1i + x) = 0 Reorder the terms: (2i + ix + 2x + x2)(-1i + x) = 0 (2i + ix + 2x + x2)(-1i + x) = 0 Multiply (2i + ix + 2x + x2) * (-1i + x) (2i * (-1i + x) + ix(-1i + x) + 2x * (-1i + x) + x2(-1i + x)) = 0 ((-1i * 2i + x * 2i) + ix(-1i + x) + 2x * (-1i + x) + x2(-1i + x)) = 0 Reorder the terms: ((2ix + -2i2) + ix(-1i + x) + 2x * (-1i + x) + x2(-1i + x)) = 0 ((2ix + -2i2) + ix(-1i + x) + 2x * (-1i + x) + x2(-1i + x)) = 0 (2ix + -2i2 + (-1i * ix + x * ix) + 2x * (-1i + x) + x2(-1i + x)) = 0 Reorder the terms: (2ix + -2i2 + (ix2 + -1i2x) + 2x * (-1i + x) + x2(-1i + x)) = 0 (2ix + -2i2 + (ix2 + -1i2x) + 2x * (-1i + x) + x2(-1i + x)) = 0 (2ix + -2i2 + ix2 + -1i2x + (-1i * 2x + x * 2x) + x2(-1i + x)) = 0 (2ix + -2i2 + ix2 + -1i2x + (-2ix + 2x2) + x2(-1i + x)) = 0 (2ix + -2i2 + ix2 + -1i2x + -2ix + 2x2 + (-1i * x2 + x * x2)) = 0 (2ix + -2i2 + ix2 + -1i2x + -2ix + 2x2 + (-1ix2 + x3)) = 0 Reorder the terms: (2ix + -2ix + ix2 + -1ix2 + -2i2 + -1i2x + 2x2 + x3) = 0 Combine like terms: 2ix + -2ix = 0 (0 + ix2 + -1ix2 + -2i2 + -1i2x + 2x2 + x3) = 0 (ix2 + -1ix2 + -2i2 + -1i2x + 2x2 + x3) = 0 Combine like terms: ix2 + -1ix2 = 0 (0 + -2i2 + -1i2x + 2x2 + x3) = 0 (-2i2 + -1i2x + 2x2 + x3) = 0 Solving -2i2 + -1i2x + 2x2 + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2x2' to each side of the equation. -2i2 + -1i2x + 2x2 + -2x2 + x3 = 0 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -2i2 + -1i2x + 0 + x3 = 0 + -2x2 -2i2 + -1i2x + x3 = 0 + -2x2 Remove the zero: -2i2 + -1i2x + x3 = -2x2 Add '-1x3' to each side of the equation. -2i2 + -1i2x + x3 + -1x3 = -2x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -2i2 + -1i2x + 0 = -2x2 + -1x3 -2i2 + -1i2x = -2x2 + -1x3 Reorder the terms: -2i2 + -1i2x + 2x2 + x3 = -2x2 + 2x2 + -1x3 + x3 Combine like terms: -2x2 + 2x2 = 0 -2i2 + -1i2x + 2x2 + x3 = 0 + -1x3 + x3 -2i2 + -1i2x + 2x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -2i2 + -1i2x + 2x2 + x3 = 0 The solution to this equation could not be determined.
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