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Simplifying Z(3 + 4i) = (5 + -2i) (3 * Z + 4i * Z) = (5 + -2i) (3Z + 4iZ) = (5 + -2i) Remove parenthesis around (5 + -2i) 3Z + 4iZ = 5 + -2i Solving 3Z + 4iZ = 5 + -2i Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Reorder the terms: -5 + 3Z + 2i + 4iZ = 5 + -2i + -5 + 2i Reorder the terms: -5 + 3Z + 2i + 4iZ = 5 + -5 + -2i + 2i Combine like terms: 5 + -5 = 0 -5 + 3Z + 2i + 4iZ = 0 + -2i + 2i -5 + 3Z + 2i + 4iZ = -2i + 2i Combine like terms: -2i + 2i = 0 -5 + 3Z + 2i + 4iZ = 0 The solution to this equation could not be determined.
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