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Simplifying (5 + -6i)(6 + I) = 0 Multiply (5 + -6i) * (6 + I) (5(6 + I) + -6i * (6 + I)) = 0 ((6 * 5 + I * 5) + -6i * (6 + I)) = 0 ((30 + 5I) + -6i * (6 + I)) = 0 (30 + 5I + (6 * -6i + I * -6i)) = 0 (30 + 5I + (-36i + -6iI)) = 0 (30 + 5I + -36i + -6iI) = 0 Solving 30 + 5I + -36i + -6iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 5I + -36i + -30 + -6iI = 0 + -30 Reorder the terms: 30 + -30 + 5I + -36i + -6iI = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 5I + -36i + -6iI = 0 + -30 5I + -36i + -6iI = 0 + -30 Combine like terms: 0 + -30 = -30 5I + -36i + -6iI = -30 Add '36i' to each side of the equation. 5I + -36i + 36i + -6iI = -30 + 36i Combine like terms: -36i + 36i = 0 5I + 0 + -6iI = -30 + 36i 5I + -6iI = -30 + 36i Reorder the terms: 30 + 5I + -36i + -6iI = -30 + 36i + 30 + -36i Reorder the terms: 30 + 5I + -36i + -6iI = -30 + 30 + 36i + -36i Combine like terms: -30 + 30 = 0 30 + 5I + -36i + -6iI = 0 + 36i + -36i 30 + 5I + -36i + -6iI = 36i + -36i Combine like terms: 36i + -36i = 0 30 + 5I + -36i + -6iI = 0 The solution to this equation could not be determined.
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