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Simplifying (9 + -2i)(7 + -8I) = 0 Multiply (9 + -2i) * (7 + -8I) (9(7 + -8I) + -2i * (7 + -8I)) = 0 ((7 * 9 + -8I * 9) + -2i * (7 + -8I)) = 0 ((63 + -72I) + -2i * (7 + -8I)) = 0 (63 + -72I + (7 * -2i + -8I * -2i)) = 0 (63 + -72I + (-14i + 16iI)) = 0 (63 + -72I + -14i + 16iI) = 0 Solving 63 + -72I + -14i + 16iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -72I + -14i + -63 + 16iI = 0 + -63 Reorder the terms: 63 + -63 + -72I + -14i + 16iI = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -72I + -14i + 16iI = 0 + -63 -72I + -14i + 16iI = 0 + -63 Combine like terms: 0 + -63 = -63 -72I + -14i + 16iI = -63 Add '14i' to each side of the equation. -72I + -14i + 14i + 16iI = -63 + 14i Combine like terms: -14i + 14i = 0 -72I + 0 + 16iI = -63 + 14i -72I + 16iI = -63 + 14i Reorder the terms: 63 + -72I + -14i + 16iI = -63 + 14i + 63 + -14i Reorder the terms: 63 + -72I + -14i + 16iI = -63 + 63 + 14i + -14i Combine like terms: -63 + 63 = 0 63 + -72I + -14i + 16iI = 0 + 14i + -14i 63 + -72I + -14i + 16iI = 14i + -14i Combine like terms: 14i + -14i = 0 63 + -72I + -14i + 16iI = 0 The solution to this equation could not be determined.
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