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Simplifying (8 + 5i)(3 + I) = 0 Multiply (8 + 5i) * (3 + I) (8(3 + I) + 5i * (3 + I)) = 0 ((3 * 8 + I * 8) + 5i * (3 + I)) = 0 ((24 + 8I) + 5i * (3 + I)) = 0 (24 + 8I + (3 * 5i + I * 5i)) = 0 (24 + 8I + (15i + 5iI)) = 0 (24 + 8I + 15i + 5iI) = 0 Solving 24 + 8I + 15i + 5iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 8I + 15i + -24 + 5iI = 0 + -24 Reorder the terms: 24 + -24 + 8I + 15i + 5iI = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8I + 15i + 5iI = 0 + -24 8I + 15i + 5iI = 0 + -24 Combine like terms: 0 + -24 = -24 8I + 15i + 5iI = -24 Add '-15i' to each side of the equation. 8I + 15i + -15i + 5iI = -24 + -15i Combine like terms: 15i + -15i = 0 8I + 0 + 5iI = -24 + -15i 8I + 5iI = -24 + -15i Reorder the terms: 24 + 8I + 15i + 5iI = -24 + -15i + 24 + 15i Reorder the terms: 24 + 8I + 15i + 5iI = -24 + 24 + -15i + 15i Combine like terms: -24 + 24 = 0 24 + 8I + 15i + 5iI = 0 + -15i + 15i 24 + 8I + 15i + 5iI = -15i + 15i Combine like terms: -15i + 15i = 0 24 + 8I + 15i + 5iI = 0 The solution to this equation could not be determined.
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