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Simplifying (1 + I)(2 + -3i) = 0 Multiply (1 + I) * (2 + -3i) (1(2 + -3i) + I(2 + -3i)) = 0 ((2 * 1 + -3i * 1) + I(2 + -3i)) = 0 ((2 + -3i) + I(2 + -3i)) = 0 (2 + -3i + (2 * I + -3i * I)) = 0 (2 + -3i + (2I + -3iI)) = 0 Reorder the terms: (2 + 2I + -3i + -3iI) = 0 (2 + 2I + -3i + -3iI) = 0 Solving 2 + 2I + -3i + -3iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2I + -3i + -2 + -3iI = 0 + -2 Reorder the terms: 2 + -2 + 2I + -3i + -3iI = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2I + -3i + -3iI = 0 + -2 2I + -3i + -3iI = 0 + -2 Combine like terms: 0 + -2 = -2 2I + -3i + -3iI = -2 Add '3i' to each side of the equation. 2I + -3i + 3i + -3iI = -2 + 3i Combine like terms: -3i + 3i = 0 2I + 0 + -3iI = -2 + 3i 2I + -3iI = -2 + 3i Reorder the terms: 2 + 2I + -3i + -3iI = -2 + 3i + 2 + -3i Reorder the terms: 2 + 2I + -3i + -3iI = -2 + 2 + 3i + -3i Combine like terms: -2 + 2 = 0 2 + 2I + -3i + -3iI = 0 + 3i + -3i 2 + 2I + -3i + -3iI = 3i + -3i Combine like terms: 3i + -3i = 0 2 + 2I + -3i + -3iI = 0 The solution to this equation could not be determined.
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