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Simplifying x2 + -1(4 + -4i) * x + -1(4 + 4i) * x + (4 + -4i)(4 + 4i) = 0 Reorder the terms for easier multiplication: x2 + -1x(4 + -4i) + -1(4 + 4i) * x + (4 + -4i)(4 + 4i) = 0 x2 + (4 * -1x + -4i * -1x) + -1(4 + 4i) * x + (4 + -4i)(4 + 4i) = 0 Reorder the terms: x2 + (4ix + -4x) + -1(4 + 4i) * x + (4 + -4i)(4 + 4i) = 0 x2 + (4ix + -4x) + -1(4 + 4i) * x + (4 + -4i)(4 + 4i) = 0 Reorder the terms for easier multiplication: x2 + 4ix + -4x + -1x(4 + 4i) + (4 + -4i)(4 + 4i) = 0 x2 + 4ix + -4x + (4 * -1x + 4i * -1x) + (4 + -4i)(4 + 4i) = 0 Reorder the terms: x2 + 4ix + -4x + (-4ix + -4x) + (4 + -4i)(4 + 4i) = 0 x2 + 4ix + -4x + (-4ix + -4x) + (4 + -4i)(4 + 4i) = 0 Multiply (4 + -4i) * (4 + 4i) x2 + 4ix + -4x + -4ix + -4x + (4(4 + 4i) + -4i * (4 + 4i)) = 0 x2 + 4ix + -4x + -4ix + -4x + ((4 * 4 + 4i * 4) + -4i * (4 + 4i)) = 0 x2 + 4ix + -4x + -4ix + -4x + ((16 + 16i) + -4i * (4 + 4i)) = 0 x2 + 4ix + -4x + -4ix + -4x + (16 + 16i + (4 * -4i + 4i * -4i)) = 0 x2 + 4ix + -4x + -4ix + -4x + (16 + 16i + (-16i + -16i2)) = 0 Combine like terms: 16i + -16i = 0 x2 + 4ix + -4x + -4ix + -4x + (16 + 0 + -16i2) = 0 x2 + 4ix + -4x + -4ix + -4x + (16 + -16i2) = 0 Reorder the terms: 16 + 4ix + -4ix + -16i2 + -4x + -4x + x2 = 0 Combine like terms: 4ix + -4ix = 0 16 + 0 + -16i2 + -4x + -4x + x2 = 0 16 + -16i2 + -4x + -4x + x2 = 0 Combine like terms: -4x + -4x = -8x 16 + -16i2 + -8x + x2 = 0 Solving 16 + -16i2 + -8x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16i2 + -8x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + -16i2 + -8x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -16i2 + -8x + x2 = 0 + -16 -16i2 + -8x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -16i2 + -8x + x2 = -16 Add '8x' to each side of the equation. -16i2 + -8x + 8x + x2 = -16 + 8x Combine like terms: -8x + 8x = 0 -16i2 + 0 + x2 = -16 + 8x -16i2 + x2 = -16 + 8x Add '-1x2' to each side of the equation. -16i2 + x2 + -1x2 = -16 + 8x + -1x2 Combine like terms: x2 + -1x2 = 0 -16i2 + 0 = -16 + 8x + -1x2 -16i2 = -16 + 8x + -1x2 Divide each side by '-16'. i2 = 1 + -0.5x + 0.0625x2 Simplifying i2 = 1 + -0.5x + 0.0625x2 Reorder the terms: -1 + i2 + 0.5x + -0.0625x2 = 1 + -0.5x + 0.0625x2 + -1 + 0.5x + -0.0625x2 Reorder the terms: -1 + i2 + 0.5x + -0.0625x2 = 1 + -1 + -0.5x + 0.5x + 0.0625x2 + -0.0625x2 Combine like terms: 1 + -1 = 0 -1 + i2 + 0.5x + -0.0625x2 = 0 + -0.5x + 0.5x + 0.0625x2 + -0.0625x2 -1 + i2 + 0.5x + -0.0625x2 = -0.5x + 0.5x + 0.0625x2 + -0.0625x2 Combine like terms: -0.5x + 0.5x = 0.0 -1 + i2 + 0.5x + -0.0625x2 = 0.0 + 0.0625x2 + -0.0625x2 -1 + i2 + 0.5x + -0.0625x2 = 0.0625x2 + -0.0625x2 Combine like terms: 0.0625x2 + -0.0625x2 = 0.0000 -1 + i2 + 0.5x + -0.0625x2 = 0.0000 The solution to this equation could not be determined.
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