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Simplifying (3 + 5I)(5 + -3i) = 0 Multiply (3 + 5I) * (5 + -3i) (3(5 + -3i) + 5I * (5 + -3i)) = 0 ((5 * 3 + -3i * 3) + 5I * (5 + -3i)) = 0 ((15 + -9i) + 5I * (5 + -3i)) = 0 (15 + -9i + (5 * 5I + -3i * 5I)) = 0 (15 + -9i + (25I + -15iI)) = 0 Reorder the terms: (15 + 25I + -9i + -15iI) = 0 (15 + 25I + -9i + -15iI) = 0 Solving 15 + 25I + -9i + -15iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 25I + -9i + -15 + -15iI = 0 + -15 Reorder the terms: 15 + -15 + 25I + -9i + -15iI = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 25I + -9i + -15iI = 0 + -15 25I + -9i + -15iI = 0 + -15 Combine like terms: 0 + -15 = -15 25I + -9i + -15iI = -15 Add '9i' to each side of the equation. 25I + -9i + 9i + -15iI = -15 + 9i Combine like terms: -9i + 9i = 0 25I + 0 + -15iI = -15 + 9i 25I + -15iI = -15 + 9i Reorder the terms: 15 + 25I + -9i + -15iI = -15 + 9i + 15 + -9i Reorder the terms: 15 + 25I + -9i + -15iI = -15 + 15 + 9i + -9i Combine like terms: -15 + 15 = 0 15 + 25I + -9i + -15iI = 0 + 9i + -9i 15 + 25I + -9i + -15iI = 9i + -9i Combine like terms: 9i + -9i = 0 15 + 25I + -9i + -15iI = 0 The solution to this equation could not be determined.
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