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