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Simplifying (7 + 5i)(7 + -5i) = 74 Multiply (7 + 5i) * (7 + -5i) (7(7 + -5i) + 5i * (7 + -5i)) = 74 ((7 * 7 + -5i * 7) + 5i * (7 + -5i)) = 74 ((49 + -35i) + 5i * (7 + -5i)) = 74 (49 + -35i + (7 * 5i + -5i * 5i)) = 74 (49 + -35i + (35i + -25i2)) = 74 Combine like terms: -35i + 35i = 0 (49 + 0 + -25i2) = 74 (49 + -25i2) = 74 Solving 49 + -25i2 = 74 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -25i2 = 74 + -49 Combine like terms: 49 + -49 = 0 0 + -25i2 = 74 + -49 -25i2 = 74 + -49 Combine like terms: 74 + -49 = 25 -25i2 = 25 Divide each side by '-25'. 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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