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Simplifying (5 + -6i)(5 + 6i) = 0 Multiply (5 + -6i) * (5 + 6i) (5(5 + 6i) + -6i * (5 + 6i)) = 0 ((5 * 5 + 6i * 5) + -6i * (5 + 6i)) = 0 ((25 + 30i) + -6i * (5 + 6i)) = 0 (25 + 30i + (5 * -6i + 6i * -6i)) = 0 (25 + 30i + (-30i + -36i2)) = 0 Combine like terms: 30i + -30i = 0 (25 + 0 + -36i2) = 0 (25 + -36i2) = 0 Solving 25 + -36i2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -36i2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -36i2 = 0 + -25 -36i2 = 0 + -25 Combine like terms: 0 + -25 = -25 -36i2 = -25 Divide each side by '-36'. i2 = 0.6944444444 Simplifying i2 = 0.6944444444 Take the square root of each side: i = {-0.833333333, 0.833333333}
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