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Simplifying (X + -3 + -2i)(x + -3 + 2i) = 0 Reorder the terms: (-3 + X + -2i)(x + -3 + 2i) = 0 Reorder the terms: (-3 + X + -2i)(-3 + 2i + x) = 0 Multiply (-3 + X + -2i) * (-3 + 2i + x) (-3(-3 + 2i + x) + X(-3 + 2i + x) + -2i * (-3 + 2i + x)) = 0 ((-3 * -3 + 2i * -3 + x * -3) + X(-3 + 2i + x) + -2i * (-3 + 2i + x)) = 0 ((9 + -6i + -3x) + X(-3 + 2i + x) + -2i * (-3 + 2i + x)) = 0 (9 + -6i + -3x + (-3 * X + 2i * X + x * X) + -2i * (-3 + 2i + x)) = 0 (9 + -6i + -3x + (-3X + 2iX + xX) + -2i * (-3 + 2i + x)) = 0 (9 + -6i + -3x + -3X + 2iX + xX + (-3 * -2i + 2i * -2i + x * -2i)) = 0 Reorder the terms: (9 + -6i + -3x + -3X + 2iX + xX + (6i + -2ix + -4i2)) = 0 (9 + -6i + -3x + -3X + 2iX + xX + (6i + -2ix + -4i2)) = 0 Reorder the terms: (9 + -3X + -6i + 6i + 2iX + -2ix + -4i2 + -3x + xX) = 0 Combine like terms: -6i + 6i = 0 (9 + -3X + 0 + 2iX + -2ix + -4i2 + -3x + xX) = 0 (9 + -3X + 2iX + -2ix + -4i2 + -3x + xX) = 0 Solving 9 + -3X + 2iX + -2ix + -4i2 + -3x + xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -3X + 2iX + -2ix + -4i2 + -3x + -9 + xX = 0 + -9 Reorder the terms: 9 + -9 + -3X + 2iX + -2ix + -4i2 + -3x + xX = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3X + 2iX + -2ix + -4i2 + -3x + xX = 0 + -9 -3X + 2iX + -2ix + -4i2 + -3x + xX = 0 + -9 Combine like terms: 0 + -9 = -9 -3X + 2iX + -2ix + -4i2 + -3x + xX = -9 Add '2ix' to each side of the equation. -3X + 2iX + -2ix + -4i2 + -3x + 2ix + xX = -9 + 2ix Reorder the terms: -3X + 2iX + -2ix + 2ix + -4i2 + -3x + xX = -9 + 2ix Combine like terms: -2ix + 2ix = 0 -3X + 2iX + 0 + -4i2 + -3x + xX = -9 + 2ix -3X + 2iX + -4i2 + -3x + xX = -9 + 2ix Add '4i2' to each side of the equation. -3X + 2iX + -4i2 + -3x + 4i2 + xX = -9 + 2ix + 4i2 Reorder the terms: -3X + 2iX + -4i2 + 4i2 + -3x + xX = -9 + 2ix + 4i2 Combine like terms: -4i2 + 4i2 = 0 -3X + 2iX + 0 + -3x + xX = -9 + 2ix + 4i2 -3X + 2iX + -3x + xX = -9 + 2ix + 4i2 Add '3x' to each side of the equation. -3X + 2iX + -3x + 3x + xX = -9 + 2ix + 4i2 + 3x Combine like terms: -3x + 3x = 0 -3X + 2iX + 0 + xX = -9 + 2ix + 4i2 + 3x -3X + 2iX + xX = -9 + 2ix + 4i2 + 3x Reorder the terms: 9 + -3X + 2iX + -2ix + -4i2 + -3x + xX = -9 + 2ix + 4i2 + 3x + 9 + -2ix + -4i2 + -3x Reorder the terms: 9 + -3X + 2iX + -2ix + -4i2 + -3x + xX = -9 + 9 + 2ix + -2ix + 4i2 + -4i2 + 3x + -3x Combine like terms: -9 + 9 = 0 9 + -3X + 2iX + -2ix + -4i2 + -3x + xX = 0 + 2ix + -2ix + 4i2 + -4i2 + 3x + -3x 9 + -3X + 2iX + -2ix + -4i2 + -3x + xX = 2ix + -2ix + 4i2 + -4i2 + 3x + -3x Combine like terms: 2ix + -2ix = 0 9 + -3X + 2iX + -2ix + -4i2 + -3x + xX = 0 + 4i2 + -4i2 + 3x + -3x 9 + -3X + 2iX + -2ix + -4i2 + -3x + xX = 4i2 + -4i2 + 3x + -3x Combine like terms: 4i2 + -4i2 = 0 9 + -3X + 2iX + -2ix + -4i2 + -3x + xX = 0 + 3x + -3x 9 + -3X + 2iX + -2ix + -4i2 + -3x + xX = 3x + -3x Combine like terms: 3x + -3x = 0 9 + -3X + 2iX + -2ix + -4i2 + -3x + xX = 0 The solution to this equation could not be determined.
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