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Simplifying (5 + -7i)(4 + I) = 0 Multiply (5 + -7i) * (4 + I) (5(4 + I) + -7i * (4 + I)) = 0 ((4 * 5 + I * 5) + -7i * (4 + I)) = 0 ((20 + 5I) + -7i * (4 + I)) = 0 (20 + 5I + (4 * -7i + I * -7i)) = 0 (20 + 5I + (-28i + -7iI)) = 0 (20 + 5I + -28i + -7iI) = 0 Solving 20 + 5I + -28i + -7iI = 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 + 5I + -28i + -20 + -7iI = 0 + -20 Reorder the terms: 20 + -20 + 5I + -28i + -7iI = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 5I + -28i + -7iI = 0 + -20 5I + -28i + -7iI = 0 + -20 Combine like terms: 0 + -20 = -20 5I + -28i + -7iI = -20 Add '28i' to each side of the equation. 5I + -28i + 28i + -7iI = -20 + 28i Combine like terms: -28i + 28i = 0 5I + 0 + -7iI = -20 + 28i 5I + -7iI = -20 + 28i Reorder the terms: 20 + 5I + -28i + -7iI = -20 + 28i + 20 + -28i Reorder the terms: 20 + 5I + -28i + -7iI = -20 + 20 + 28i + -28i Combine like terms: -20 + 20 = 0 20 + 5I + -28i + -7iI = 0 + 28i + -28i 20 + 5I + -28i + -7iI = 28i + -28i Combine like terms: 28i + -28i = 0 20 + 5I + -28i + -7iI = 0 The solution to this equation could not be determined.
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