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Simplifying (-5 + 9i)(2 + I) = 0 Multiply (-5 + 9i) * (2 + I) (-5(2 + I) + 9i * (2 + I)) = 0 ((2 * -5 + I * -5) + 9i * (2 + I)) = 0 ((-10 + -5I) + 9i * (2 + I)) = 0 (-10 + -5I + (2 * 9i + I * 9i)) = 0 (-10 + -5I + (18i + 9iI)) = 0 (-10 + -5I + 18i + 9iI) = 0 Solving -10 + -5I + 18i + 9iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -5I + 18i + 10 + 9iI = 0 + 10 Reorder the terms: -10 + 10 + -5I + 18i + 9iI = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -5I + 18i + 9iI = 0 + 10 -5I + 18i + 9iI = 0 + 10 Combine like terms: 0 + 10 = 10 -5I + 18i + 9iI = 10 Add '-18i' to each side of the equation. -5I + 18i + -18i + 9iI = 10 + -18i Combine like terms: 18i + -18i = 0 -5I + 0 + 9iI = 10 + -18i -5I + 9iI = 10 + -18i Reorder the terms: -10 + -5I + 18i + 9iI = 10 + -18i + -10 + 18i Reorder the terms: -10 + -5I + 18i + 9iI = 10 + -10 + -18i + 18i Combine like terms: 10 + -10 = 0 -10 + -5I + 18i + 9iI = 0 + -18i + 18i -10 + -5I + 18i + 9iI = -18i + 18i Combine like terms: -18i + 18i = 0 -10 + -5I + 18i + 9iI = 0 The solution to this equation could not be determined.
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