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Simplifying (5 + i)(8 + I) = 0 Multiply (5 + i) * (8 + I) (5(8 + I) + i(8 + I)) = 0 ((8 * 5 + I * 5) + i(8 + I)) = 0 ((40 + 5I) + i(8 + I)) = 0 (40 + 5I + (8 * i + I * i)) = 0 (40 + 5I + (8i + iI)) = 0 (40 + 5I + 8i + iI) = 0 Solving 40 + 5I + 8i + iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 5I + 8i + -40 + iI = 0 + -40 Reorder the terms: 40 + -40 + 5I + 8i + iI = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 5I + 8i + iI = 0 + -40 5I + 8i + iI = 0 + -40 Combine like terms: 0 + -40 = -40 5I + 8i + iI = -40 Add '-8i' to each side of the equation. 5I + 8i + -8i + iI = -40 + -8i Combine like terms: 8i + -8i = 0 5I + 0 + iI = -40 + -8i 5I + iI = -40 + -8i Reorder the terms: 40 + 5I + 8i + iI = -40 + -8i + 40 + 8i Reorder the terms: 40 + 5I + 8i + iI = -40 + 40 + -8i + 8i Combine like terms: -40 + 40 = 0 40 + 5I + 8i + iI = 0 + -8i + 8i 40 + 5I + 8i + iI = -8i + 8i Combine like terms: -8i + 8i = 0 40 + 5I + 8i + iI = 0 The solution to this equation could not be determined.
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