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Simplifying (7 + -24i)(7 + 24i) = 0 Multiply (7 + -24i) * (7 + 24i) (7(7 + 24i) + -24i * (7 + 24i)) = 0 ((7 * 7 + 24i * 7) + -24i * (7 + 24i)) = 0 ((49 + 168i) + -24i * (7 + 24i)) = 0 (49 + 168i + (7 * -24i + 24i * -24i)) = 0 (49 + 168i + (-168i + -576i2)) = 0 Combine like terms: 168i + -168i = 0 (49 + 0 + -576i2) = 0 (49 + -576i2) = 0 Solving 49 + -576i2 = 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 + -576i2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -576i2 = 0 + -49 -576i2 = 0 + -49 Combine like terms: 0 + -49 = -49 -576i2 = -49 Divide each side by '-576'. i2 = 0.08506944444 Simplifying i2 = 0.08506944444 Take the square root of each side: i = {-0.291666667, 0.291666667}
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