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Simplifying (x + -3)(x + -2i)(x + 2i) = 0 Reorder the terms: (-3 + x)(x + -2i)(x + 2i) = 0 Reorder the terms: (-3 + x)(-2i + x)(x + 2i) = 0 Reorder the terms: (-3 + x)(-2i + x)(2i + x) = 0 Multiply (-3 + x) * (-2i + x) (-3(-2i + x) + x(-2i + x))(2i + x) = 0 ((-2i * -3 + x * -3) + x(-2i + x))(2i + x) = 0 ((6i + -3x) + x(-2i + x))(2i + x) = 0 (6i + -3x + (-2i * x + x * x))(2i + x) = 0 (6i + -3x + (-2ix + x2))(2i + x) = 0 Reorder the terms: (6i + -2ix + -3x + x2)(2i + x) = 0 (6i + -2ix + -3x + x2)(2i + x) = 0 Multiply (6i + -2ix + -3x + x2) * (2i + x) (6i * (2i + x) + -2ix * (2i + x) + -3x * (2i + x) + x2(2i + x)) = 0 ((2i * 6i + x * 6i) + -2ix * (2i + x) + -3x * (2i + x) + x2(2i + x)) = 0 Reorder the terms: ((6ix + 12i2) + -2ix * (2i + x) + -3x * (2i + x) + x2(2i + x)) = 0 ((6ix + 12i2) + -2ix * (2i + x) + -3x * (2i + x) + x2(2i + x)) = 0 (6ix + 12i2 + (2i * -2ix + x * -2ix) + -3x * (2i + x) + x2(2i + x)) = 0 Reorder the terms: (6ix + 12i2 + (-2ix2 + -4i2x) + -3x * (2i + x) + x2(2i + x)) = 0 (6ix + 12i2 + (-2ix2 + -4i2x) + -3x * (2i + x) + x2(2i + x)) = 0 (6ix + 12i2 + -2ix2 + -4i2x + (2i * -3x + x * -3x) + x2(2i + x)) = 0 (6ix + 12i2 + -2ix2 + -4i2x + (-6ix + -3x2) + x2(2i + x)) = 0 (6ix + 12i2 + -2ix2 + -4i2x + -6ix + -3x2 + (2i * x2 + x * x2)) = 0 (6ix + 12i2 + -2ix2 + -4i2x + -6ix + -3x2 + (2ix2 + x3)) = 0 Reorder the terms: (6ix + -6ix + -2ix2 + 2ix2 + 12i2 + -4i2x + -3x2 + x3) = 0 Combine like terms: 6ix + -6ix = 0 (0 + -2ix2 + 2ix2 + 12i2 + -4i2x + -3x2 + x3) = 0 (-2ix2 + 2ix2 + 12i2 + -4i2x + -3x2 + x3) = 0 Combine like terms: -2ix2 + 2ix2 = 0 (0 + 12i2 + -4i2x + -3x2 + x3) = 0 (12i2 + -4i2x + -3x2 + x3) = 0 Solving 12i2 + -4i2x + -3x2 + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3x2' to each side of the equation. 12i2 + -4i2x + -3x2 + 3x2 + x3 = 0 + 3x2 Combine like terms: -3x2 + 3x2 = 0 12i2 + -4i2x + 0 + x3 = 0 + 3x2 12i2 + -4i2x + x3 = 0 + 3x2 Remove the zero: 12i2 + -4i2x + x3 = 3x2 Add '-1x3' to each side of the equation. 12i2 + -4i2x + x3 + -1x3 = 3x2 + -1x3 Combine like terms: x3 + -1x3 = 0 12i2 + -4i2x + 0 = 3x2 + -1x3 12i2 + -4i2x = 3x2 + -1x3 Reorder the terms: 12i2 + -4i2x + -3x2 + x3 = 3x2 + -3x2 + -1x3 + x3 Combine like terms: 3x2 + -3x2 = 0 12i2 + -4i2x + -3x2 + x3 = 0 + -1x3 + x3 12i2 + -4i2x + -3x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 12i2 + -4i2x + -3x2 + x3 = 0 The solution to this equation could not be determined.
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