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Simplifying (3 + -1I)(3 + i) = 0 Multiply (3 + -1I) * (3 + i) (3(3 + i) + -1I * (3 + i)) = 0 ((3 * 3 + i * 3) + -1I * (3 + i)) = 0 ((9 + 3i) + -1I * (3 + i)) = 0 (9 + 3i + (3 * -1I + i * -1I)) = 0 (9 + 3i + (-3I + -1iI)) = 0 Reorder the terms: (9 + -3I + 3i + -1iI) = 0 (9 + -3I + 3i + -1iI) = 0 Solving 9 + -3I + 3i + -1iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -3I + 3i + -9 + -1iI = 0 + -9 Reorder the terms: 9 + -9 + -3I + 3i + -1iI = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3I + 3i + -1iI = 0 + -9 -3I + 3i + -1iI = 0 + -9 Combine like terms: 0 + -9 = -9 -3I + 3i + -1iI = -9 Add '-3i' to each side of the equation. -3I + 3i + -3i + -1iI = -9 + -3i Combine like terms: 3i + -3i = 0 -3I + 0 + -1iI = -9 + -3i -3I + -1iI = -9 + -3i Reorder the terms: 9 + -3I + 3i + -1iI = -9 + -3i + 9 + 3i Reorder the terms: 9 + -3I + 3i + -1iI = -9 + 9 + -3i + 3i Combine like terms: -9 + 9 = 0 9 + -3I + 3i + -1iI = 0 + -3i + 3i 9 + -3I + 3i + -1iI = -3i + 3i Combine like terms: -3i + 3i = 0 9 + -3I + 3i + -1iI = 0 The solution to this equation could not be determined.
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