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Simplifying Z2 + (2 + 3i) * z + 19 + 2i = 0 Reorder the terms for easier multiplication: Z2 + z(2 + 3i) + 19 + 2i = 0 Z2 + (2 * z + 3i * z) + 19 + 2i = 0 Reorder the terms: Z2 + (3iz + 2z) + 19 + 2i = 0 Z2 + (3iz + 2z) + 19 + 2i = 0 Reorder the terms: 19 + Z2 + 2i + 3iz + 2z = 0 Solving 19 + Z2 + 2i + 3iz + 2z = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + Z2 + 2i + 3iz + -19 + 2z = 0 + -19 Reorder the terms: 19 + -19 + Z2 + 2i + 3iz + 2z = 0 + -19 Combine like terms: 19 + -19 = 0 0 + Z2 + 2i + 3iz + 2z = 0 + -19 Z2 + 2i + 3iz + 2z = 0 + -19 Combine like terms: 0 + -19 = -19 Z2 + 2i + 3iz + 2z = -19 Add '-2i' to each side of the equation. Z2 + 2i + 3iz + -2i + 2z = -19 + -2i Reorder the terms: Z2 + 2i + -2i + 3iz + 2z = -19 + -2i Combine like terms: 2i + -2i = 0 Z2 + 0 + 3iz + 2z = -19 + -2i Z2 + 3iz + 2z = -19 + -2i Add '-3iz' to each side of the equation. Z2 + 3iz + -3iz + 2z = -19 + -2i + -3iz Combine like terms: 3iz + -3iz = 0 Z2 + 0 + 2z = -19 + -2i + -3iz Z2 + 2z = -19 + -2i + -3iz Add '-2z' to each side of the equation. Z2 + 2z + -2z = -19 + -2i + -3iz + -2z Combine like terms: 2z + -2z = 0 Z2 + 0 = -19 + -2i + -3iz + -2z Z2 = -19 + -2i + -3iz + -2z Simplifying Z2 = -19 + -2i + -3iz + -2z Reorder the terms: 19 + Z2 + 2i + 3iz + 2z = -19 + -2i + -3iz + -2z + 19 + 2i + 3iz + 2z Reorder the terms: 19 + Z2 + 2i + 3iz + 2z = -19 + 19 + -2i + 2i + -3iz + 3iz + -2z + 2z Combine like terms: -19 + 19 = 0 19 + Z2 + 2i + 3iz + 2z = 0 + -2i + 2i + -3iz + 3iz + -2z + 2z 19 + Z2 + 2i + 3iz + 2z = -2i + 2i + -3iz + 3iz + -2z + 2z Combine like terms: -2i + 2i = 0 19 + Z2 + 2i + 3iz + 2z = 0 + -3iz + 3iz + -2z + 2z 19 + Z2 + 2i + 3iz + 2z = -3iz + 3iz + -2z + 2z Combine like terms: -3iz + 3iz = 0 19 + Z2 + 2i + 3iz + 2z = 0 + -2z + 2z 19 + Z2 + 2i + 3iz + 2z = -2z + 2z Combine like terms: -2z + 2z = 0 19 + Z2 + 2i + 3iz + 2z = 0 The solution to this equation could not be determined.
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