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Simplifying (X + -4 + 4i)(x + -4 + -4i) = 0 Reorder the terms: (-4 + X + 4i)(x + -4 + -4i) = 0 Reorder the terms: (-4 + X + 4i)(-4 + -4i + x) = 0 Multiply (-4 + X + 4i) * (-4 + -4i + x) (-4(-4 + -4i + x) + X(-4 + -4i + x) + 4i * (-4 + -4i + x)) = 0 ((-4 * -4 + -4i * -4 + x * -4) + X(-4 + -4i + x) + 4i * (-4 + -4i + x)) = 0 ((16 + 16i + -4x) + X(-4 + -4i + x) + 4i * (-4 + -4i + x)) = 0 (16 + 16i + -4x + (-4 * X + -4i * X + x * X) + 4i * (-4 + -4i + x)) = 0 (16 + 16i + -4x + (-4X + -4iX + xX) + 4i * (-4 + -4i + x)) = 0 (16 + 16i + -4x + -4X + -4iX + xX + (-4 * 4i + -4i * 4i + x * 4i)) = 0 Reorder the terms: (16 + 16i + -4x + -4X + -4iX + xX + (-16i + 4ix + -16i2)) = 0 (16 + 16i + -4x + -4X + -4iX + xX + (-16i + 4ix + -16i2)) = 0 Reorder the terms: (16 + -4X + 16i + -16i + -4iX + 4ix + -16i2 + -4x + xX) = 0 Combine like terms: 16i + -16i = 0 (16 + -4X + 0 + -4iX + 4ix + -16i2 + -4x + xX) = 0 (16 + -4X + -4iX + 4ix + -16i2 + -4x + xX) = 0 Solving 16 + -4X + -4iX + 4ix + -16i2 + -4x + xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -4X + -4iX + 4ix + -16i2 + -4x + -16 + xX = 0 + -16 Reorder the terms: 16 + -16 + -4X + -4iX + 4ix + -16i2 + -4x + xX = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4X + -4iX + 4ix + -16i2 + -4x + xX = 0 + -16 -4X + -4iX + 4ix + -16i2 + -4x + xX = 0 + -16 Combine like terms: 0 + -16 = -16 -4X + -4iX + 4ix + -16i2 + -4x + xX = -16 Add '-4ix' to each side of the equation. -4X + -4iX + 4ix + -16i2 + -4x + -4ix + xX = -16 + -4ix Reorder the terms: -4X + -4iX + 4ix + -4ix + -16i2 + -4x + xX = -16 + -4ix Combine like terms: 4ix + -4ix = 0 -4X + -4iX + 0 + -16i2 + -4x + xX = -16 + -4ix -4X + -4iX + -16i2 + -4x + xX = -16 + -4ix Add '16i2' to each side of the equation. -4X + -4iX + -16i2 + -4x + 16i2 + xX = -16 + -4ix + 16i2 Reorder the terms: -4X + -4iX + -16i2 + 16i2 + -4x + xX = -16 + -4ix + 16i2 Combine like terms: -16i2 + 16i2 = 0 -4X + -4iX + 0 + -4x + xX = -16 + -4ix + 16i2 -4X + -4iX + -4x + xX = -16 + -4ix + 16i2 Add '4x' to each side of the equation. -4X + -4iX + -4x + 4x + xX = -16 + -4ix + 16i2 + 4x Combine like terms: -4x + 4x = 0 -4X + -4iX + 0 + xX = -16 + -4ix + 16i2 + 4x -4X + -4iX + xX = -16 + -4ix + 16i2 + 4x Reorder the terms: 16 + -4X + -4iX + 4ix + -16i2 + -4x + xX = -16 + -4ix + 16i2 + 4x + 16 + 4ix + -16i2 + -4x Reorder the terms: 16 + -4X + -4iX + 4ix + -16i2 + -4x + xX = -16 + 16 + -4ix + 4ix + 16i2 + -16i2 + 4x + -4x Combine like terms: -16 + 16 = 0 16 + -4X + -4iX + 4ix + -16i2 + -4x + xX = 0 + -4ix + 4ix + 16i2 + -16i2 + 4x + -4x 16 + -4X + -4iX + 4ix + -16i2 + -4x + xX = -4ix + 4ix + 16i2 + -16i2 + 4x + -4x Combine like terms: -4ix + 4ix = 0 16 + -4X + -4iX + 4ix + -16i2 + -4x + xX = 0 + 16i2 + -16i2 + 4x + -4x 16 + -4X + -4iX + 4ix + -16i2 + -4x + xX = 16i2 + -16i2 + 4x + -4x Combine like terms: 16i2 + -16i2 = 0 16 + -4X + -4iX + 4ix + -16i2 + -4x + xX = 0 + 4x + -4x 16 + -4X + -4iX + 4ix + -16i2 + -4x + xX = 4x + -4x Combine like terms: 4x + -4x = 0 16 + -4X + -4iX + 4ix + -16i2 + -4x + xX = 0 The solution to this equation could not be determined.
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