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Simplifying (7 + -1I)(3 + -2i) = 0 Multiply (7 + -1I) * (3 + -2i) (7(3 + -2i) + -1I * (3 + -2i)) = 0 ((3 * 7 + -2i * 7) + -1I * (3 + -2i)) = 0 ((21 + -14i) + -1I * (3 + -2i)) = 0 (21 + -14i + (3 * -1I + -2i * -1I)) = 0 (21 + -14i + (-3I + 2iI)) = 0 Reorder the terms: (21 + -3I + -14i + 2iI) = 0 (21 + -3I + -14i + 2iI) = 0 Solving 21 + -3I + -14i + 2iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -3I + -14i + -21 + 2iI = 0 + -21 Reorder the terms: 21 + -21 + -3I + -14i + 2iI = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -3I + -14i + 2iI = 0 + -21 -3I + -14i + 2iI = 0 + -21 Combine like terms: 0 + -21 = -21 -3I + -14i + 2iI = -21 Add '14i' to each side of the equation. -3I + -14i + 14i + 2iI = -21 + 14i Combine like terms: -14i + 14i = 0 -3I + 0 + 2iI = -21 + 14i -3I + 2iI = -21 + 14i Reorder the terms: 21 + -3I + -14i + 2iI = -21 + 14i + 21 + -14i Reorder the terms: 21 + -3I + -14i + 2iI = -21 + 21 + 14i + -14i Combine like terms: -21 + 21 = 0 21 + -3I + -14i + 2iI = 0 + 14i + -14i 21 + -3I + -14i + 2iI = 14i + -14i Combine like terms: 14i + -14i = 0 21 + -3I + -14i + 2iI = 0 The solution to this equation could not be determined.
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