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Simplifying (5 + -1I)(4 + 3i) = 0 Multiply (5 + -1I) * (4 + 3i) (5(4 + 3i) + -1I * (4 + 3i)) = 0 ((4 * 5 + 3i * 5) + -1I * (4 + 3i)) = 0 ((20 + 15i) + -1I * (4 + 3i)) = 0 (20 + 15i + (4 * -1I + 3i * -1I)) = 0 (20 + 15i + (-4I + -3iI)) = 0 Reorder the terms: (20 + -4I + 15i + -3iI) = 0 (20 + -4I + 15i + -3iI) = 0 Solving 20 + -4I + 15i + -3iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -4I + 15i + -20 + -3iI = 0 + -20 Reorder the terms: 20 + -20 + -4I + 15i + -3iI = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -4I + 15i + -3iI = 0 + -20 -4I + 15i + -3iI = 0 + -20 Combine like terms: 0 + -20 = -20 -4I + 15i + -3iI = -20 Add '-15i' to each side of the equation. -4I + 15i + -15i + -3iI = -20 + -15i Combine like terms: 15i + -15i = 0 -4I + 0 + -3iI = -20 + -15i -4I + -3iI = -20 + -15i Reorder the terms: 20 + -4I + 15i + -3iI = -20 + -15i + 20 + 15i Reorder the terms: 20 + -4I + 15i + -3iI = -20 + 20 + -15i + 15i Combine like terms: -20 + 20 = 0 20 + -4I + 15i + -3iI = 0 + -15i + 15i 20 + -4I + 15i + -3iI = -15i + 15i Combine like terms: -15i + 15i = 0 20 + -4I + 15i + -3iI = 0 The solution to this equation could not be determined.
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