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Simplifying (7 + 4i)(7 + -4i) = 0 Multiply (7 + 4i) * (7 + -4i) (7(7 + -4i) + 4i * (7 + -4i)) = 0 ((7 * 7 + -4i * 7) + 4i * (7 + -4i)) = 0 ((49 + -28i) + 4i * (7 + -4i)) = 0 (49 + -28i + (7 * 4i + -4i * 4i)) = 0 (49 + -28i + (28i + -16i2)) = 0 Combine like terms: -28i + 28i = 0 (49 + 0 + -16i2) = 0 (49 + -16i2) = 0 Solving 49 + -16i2 = 0 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 + -16i2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -16i2 = 0 + -49 -16i2 = 0 + -49 Combine like terms: 0 + -49 = -49 -16i2 = -49 Divide each side by '-16'. i2 = 3.0625 Simplifying i2 = 3.0625 Take the square root of each side: i = {-1.75, 1.75}
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