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Simplifying (9 + -6i)(9 + -6i) = 45 + -108i Multiply (9 + -6i) * (9 + -6i) (9(9 + -6i) + -6i * (9 + -6i)) = 45 + -108i ((9 * 9 + -6i * 9) + -6i * (9 + -6i)) = 45 + -108i ((81 + -54i) + -6i * (9 + -6i)) = 45 + -108i (81 + -54i + (9 * -6i + -6i * -6i)) = 45 + -108i (81 + -54i + (-54i + 36i2)) = 45 + -108i Combine like terms: -54i + -54i = -108i (81 + -108i + 36i2) = 45 + -108i Add '108i' to each side of the equation. 81 + -108i + 108i + 36i2 = 45 + -108i + 108i Combine like terms: -108i + 108i = 0 81 + 0 + 36i2 = 45 + -108i + 108i 81 + 36i2 = 45 + -108i + 108i Combine like terms: -108i + 108i = 0 81 + 36i2 = 45 + 0 81 + 36i2 = 45 Solving 81 + 36i2 = 45 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 36i2 = 45 + -81 Combine like terms: 81 + -81 = 0 0 + 36i2 = 45 + -81 36i2 = 45 + -81 Combine like terms: 45 + -81 = -36 36i2 = -36 Divide each side by '36'. 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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