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Simplifying (2 + I)(3 + 5i) = 0 Multiply (2 + I) * (3 + 5i) (2(3 + 5i) + I(3 + 5i)) = 0 ((3 * 2 + 5i * 2) + I(3 + 5i)) = 0 ((6 + 10i) + I(3 + 5i)) = 0 (6 + 10i + (3 * I + 5i * I)) = 0 (6 + 10i + (3I + 5iI)) = 0 Reorder the terms: (6 + 3I + 10i + 5iI) = 0 (6 + 3I + 10i + 5iI) = 0 Solving 6 + 3I + 10i + 5iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3I + 10i + -6 + 5iI = 0 + -6 Reorder the terms: 6 + -6 + 3I + 10i + 5iI = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3I + 10i + 5iI = 0 + -6 3I + 10i + 5iI = 0 + -6 Combine like terms: 0 + -6 = -6 3I + 10i + 5iI = -6 Add '-10i' to each side of the equation. 3I + 10i + -10i + 5iI = -6 + -10i Combine like terms: 10i + -10i = 0 3I + 0 + 5iI = -6 + -10i 3I + 5iI = -6 + -10i Reorder the terms: 6 + 3I + 10i + 5iI = -6 + -10i + 6 + 10i Reorder the terms: 6 + 3I + 10i + 5iI = -6 + 6 + -10i + 10i Combine like terms: -6 + 6 = 0 6 + 3I + 10i + 5iI = 0 + -10i + 10i 6 + 3I + 10i + 5iI = -10i + 10i Combine like terms: -10i + 10i = 0 6 + 3I + 10i + 5iI = 0 The solution to this equation could not be determined.
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