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Simplifying (-5 + 4i)(5 + I) = 0 Multiply (-5 + 4i) * (5 + I) (-5(5 + I) + 4i * (5 + I)) = 0 ((5 * -5 + I * -5) + 4i * (5 + I)) = 0 ((-25 + -5I) + 4i * (5 + I)) = 0 (-25 + -5I + (5 * 4i + I * 4i)) = 0 (-25 + -5I + (20i + 4iI)) = 0 (-25 + -5I + 20i + 4iI) = 0 Solving -25 + -5I + 20i + 4iI = 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 + -5I + 20i + 25 + 4iI = 0 + 25 Reorder the terms: -25 + 25 + -5I + 20i + 4iI = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -5I + 20i + 4iI = 0 + 25 -5I + 20i + 4iI = 0 + 25 Combine like terms: 0 + 25 = 25 -5I + 20i + 4iI = 25 Add '-20i' to each side of the equation. -5I + 20i + -20i + 4iI = 25 + -20i Combine like terms: 20i + -20i = 0 -5I + 0 + 4iI = 25 + -20i -5I + 4iI = 25 + -20i Reorder the terms: -25 + -5I + 20i + 4iI = 25 + -20i + -25 + 20i Reorder the terms: -25 + -5I + 20i + 4iI = 25 + -25 + -20i + 20i Combine like terms: 25 + -25 = 0 -25 + -5I + 20i + 4iI = 0 + -20i + 20i -25 + -5I + 20i + 4iI = -20i + 20i Combine like terms: -20i + 20i = 0 -25 + -5I + 20i + 4iI = 0 The solution to this equation could not be determined.
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