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Simplifying Z2 + (1 + 2i) * z + 7i = 0 Reorder the terms for easier multiplication: Z2 + z(1 + 2i) + 7i = 0 Z2 + (1 * z + 2i * z) + 7i = 0 Reorder the terms: Z2 + (2iz + 1z) + 7i = 0 Z2 + (2iz + 1z) + 7i = 0 Reorder the terms: Z2 + 7i + 2iz + 1z = 0 Solving Z2 + 7i + 2iz + 1z = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-7i' to each side of the equation. Z2 + 7i + 2iz + -7i + 1z = 0 + -7i Reorder the terms: Z2 + 7i + -7i + 2iz + 1z = 0 + -7i Combine like terms: 7i + -7i = 0 Z2 + 0 + 2iz + 1z = 0 + -7i Z2 + 2iz + 1z = 0 + -7i Remove the zero: Z2 + 2iz + 1z = -7i Add '-2iz' to each side of the equation. Z2 + 2iz + -2iz + 1z = -7i + -2iz Combine like terms: 2iz + -2iz = 0 Z2 + 0 + 1z = -7i + -2iz Z2 + 1z = -7i + -2iz Add '-1z' to each side of the equation. Z2 + 1z + -1z = -7i + -2iz + -1z Combine like terms: 1z + -1z = 0 Z2 + 0 = -7i + -2iz + -1z Z2 = -7i + -2iz + -1z Simplifying Z2 = -7i + -2iz + -1z Reorder the terms: Z2 + 7i + 2iz + z = -7i + 7i + -2iz + 2iz + -1z + z Combine like terms: -7i + 7i = 0 Z2 + 7i + 2iz + z = 0 + -2iz + 2iz + -1z + z Z2 + 7i + 2iz + z = -2iz + 2iz + -1z + z Combine like terms: -2iz + 2iz = 0 Z2 + 7i + 2iz + z = 0 + -1z + z Z2 + 7i + 2iz + z = -1z + z Combine like terms: -1z + z = 0 Z2 + 7i + 2iz + z = 0 The solution to this equation could not be determined.
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