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Simplifying (7 + 6i)(8 + I) = 0 Multiply (7 + 6i) * (8 + I) (7(8 + I) + 6i * (8 + I)) = 0 ((8 * 7 + I * 7) + 6i * (8 + I)) = 0 ((56 + 7I) + 6i * (8 + I)) = 0 (56 + 7I + (8 * 6i + I * 6i)) = 0 (56 + 7I + (48i + 6iI)) = 0 (56 + 7I + 48i + 6iI) = 0 Solving 56 + 7I + 48i + 6iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + 7I + 48i + -56 + 6iI = 0 + -56 Reorder the terms: 56 + -56 + 7I + 48i + 6iI = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 7I + 48i + 6iI = 0 + -56 7I + 48i + 6iI = 0 + -56 Combine like terms: 0 + -56 = -56 7I + 48i + 6iI = -56 Add '-48i' to each side of the equation. 7I + 48i + -48i + 6iI = -56 + -48i Combine like terms: 48i + -48i = 0 7I + 0 + 6iI = -56 + -48i 7I + 6iI = -56 + -48i Reorder the terms: 56 + 7I + 48i + 6iI = -56 + -48i + 56 + 48i Reorder the terms: 56 + 7I + 48i + 6iI = -56 + 56 + -48i + 48i Combine like terms: -56 + 56 = 0 56 + 7I + 48i + 6iI = 0 + -48i + 48i 56 + 7I + 48i + 6iI = -48i + 48i Combine like terms: -48i + 48i = 0 56 + 7I + 48i + 6iI = 0 The solution to this equation could not be determined.
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