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Simplifying (4 + 8i)(4 + -8i) = x Multiply (4 + 8i) * (4 + -8i) (4(4 + -8i) + 8i * (4 + -8i)) = x ((4 * 4 + -8i * 4) + 8i * (4 + -8i)) = x ((16 + -32i) + 8i * (4 + -8i)) = x (16 + -32i + (4 * 8i + -8i * 8i)) = x (16 + -32i + (32i + -64i2)) = x Combine like terms: -32i + 32i = 0 (16 + 0 + -64i2) = x (16 + -64i2) = x Solving 16 + -64i2 = x 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 + -16 + -64i2 = -16 + x Combine like terms: 16 + -16 = 0 0 + -64i2 = -16 + x -64i2 = -16 + x Divide each side by '-64'. i2 = 0.25 + -0.015625x Simplifying i2 = 0.25 + -0.015625x Reorder the terms: -0.25 + i2 + 0.015625x = 0.25 + -0.015625x + -0.25 + 0.015625x Reorder the terms: -0.25 + i2 + 0.015625x = 0.25 + -0.25 + -0.015625x + 0.015625x Combine like terms: 0.25 + -0.25 = 0.00 -0.25 + i2 + 0.015625x = 0.00 + -0.015625x + 0.015625x -0.25 + i2 + 0.015625x = -0.015625x + 0.015625x Combine like terms: -0.015625x + 0.015625x = 0.000000 -0.25 + i2 + 0.015625x = 0.000000 The solution to this equation could not be determined.
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