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Simplifying (-1 + -4i)(-1 + 4i) = 17 Multiply (-1 + -4i) * (-1 + 4i) (-1(-1 + 4i) + -4i * (-1 + 4i)) = 17 ((-1 * -1 + 4i * -1) + -4i * (-1 + 4i)) = 17 ((1 + -4i) + -4i * (-1 + 4i)) = 17 (1 + -4i + (-1 * -4i + 4i * -4i)) = 17 (1 + -4i + (4i + -16i2)) = 17 Combine like terms: -4i + 4i = 0 (1 + 0 + -16i2) = 17 (1 + -16i2) = 17 Solving 1 + -16i2 = 17 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -16i2 = 17 + -1 Combine like terms: 1 + -1 = 0 0 + -16i2 = 17 + -1 -16i2 = 17 + -1 Combine like terms: 17 + -1 = 16 -16i2 = 16 Divide each side by '-16'. i2 = -1 Simplifying i2 = -1 Reorder the terms: 1 + i2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + i2 = 0 The solution to this equation could not be determined.
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