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Simplifying (5 + -4i)(5 + 4I) = 0 Multiply (5 + -4i) * (5 + 4I) (5(5 + 4I) + -4i * (5 + 4I)) = 0 ((5 * 5 + 4I * 5) + -4i * (5 + 4I)) = 0 ((25 + 20I) + -4i * (5 + 4I)) = 0 (25 + 20I + (5 * -4i + 4I * -4i)) = 0 (25 + 20I + (-20i + -16iI)) = 0 (25 + 20I + -20i + -16iI) = 0 Solving 25 + 20I + -20i + -16iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 20I + -20i + -25 + -16iI = 0 + -25 Reorder the terms: 25 + -25 + 20I + -20i + -16iI = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 20I + -20i + -16iI = 0 + -25 20I + -20i + -16iI = 0 + -25 Combine like terms: 0 + -25 = -25 20I + -20i + -16iI = -25 Add '20i' to each side of the equation. 20I + -20i + 20i + -16iI = -25 + 20i Combine like terms: -20i + 20i = 0 20I + 0 + -16iI = -25 + 20i 20I + -16iI = -25 + 20i Reorder the terms: 25 + 20I + -20i + -16iI = -25 + 20i + 25 + -20i Reorder the terms: 25 + 20I + -20i + -16iI = -25 + 25 + 20i + -20i Combine like terms: -25 + 25 = 0 25 + 20I + -20i + -16iI = 0 + 20i + -20i 25 + 20I + -20i + -16iI = 20i + -20i Combine like terms: 20i + -20i = 0 25 + 20I + -20i + -16iI = 0 The solution to this equation could not be determined.
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