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Simplifying (7 + 9i)(7 + -9i) = 130 Multiply (7 + 9i) * (7 + -9i) (7(7 + -9i) + 9i * (7 + -9i)) = 130 ((7 * 7 + -9i * 7) + 9i * (7 + -9i)) = 130 ((49 + -63i) + 9i * (7 + -9i)) = 130 (49 + -63i + (7 * 9i + -9i * 9i)) = 130 (49 + -63i + (63i + -81i2)) = 130 Combine like terms: -63i + 63i = 0 (49 + 0 + -81i2) = 130 (49 + -81i2) = 130 Solving 49 + -81i2 = 130 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 + -81i2 = 130 + -49 Combine like terms: 49 + -49 = 0 0 + -81i2 = 130 + -49 -81i2 = 130 + -49 Combine like terms: 130 + -49 = 81 -81i2 = 81 Divide each side by '-81'. 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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