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Simplifying (4 + -3i)(7 + I) = 0 Multiply (4 + -3i) * (7 + I) (4(7 + I) + -3i * (7 + I)) = 0 ((7 * 4 + I * 4) + -3i * (7 + I)) = 0 ((28 + 4I) + -3i * (7 + I)) = 0 (28 + 4I + (7 * -3i + I * -3i)) = 0 (28 + 4I + (-21i + -3iI)) = 0 (28 + 4I + -21i + -3iI) = 0 Solving 28 + 4I + -21i + -3iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + 4I + -21i + -28 + -3iI = 0 + -28 Reorder the terms: 28 + -28 + 4I + -21i + -3iI = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 4I + -21i + -3iI = 0 + -28 4I + -21i + -3iI = 0 + -28 Combine like terms: 0 + -28 = -28 4I + -21i + -3iI = -28 Add '21i' to each side of the equation. 4I + -21i + 21i + -3iI = -28 + 21i Combine like terms: -21i + 21i = 0 4I + 0 + -3iI = -28 + 21i 4I + -3iI = -28 + 21i Reorder the terms: 28 + 4I + -21i + -3iI = -28 + 21i + 28 + -21i Reorder the terms: 28 + 4I + -21i + -3iI = -28 + 28 + 21i + -21i Combine like terms: -28 + 28 = 0 28 + 4I + -21i + -3iI = 0 + 21i + -21i 28 + 4I + -21i + -3iI = 21i + -21i Combine like terms: 21i + -21i = 0 28 + 4I + -21i + -3iI = 0 The solution to this equation could not be determined.
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