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Simplifying z2 + -1(1 + 2i) * z + (23 + 43i) = 0 Reorder the terms for easier multiplication: z2 + -1z(1 + 2i) + (23 + 43i) = 0 z2 + (1 * -1z + 2i * -1z) + (23 + 43i) = 0 Reorder the terms: z2 + (-2iz + -1z) + (23 + 43i) = 0 z2 + (-2iz + -1z) + (23 + 43i) = 0 Remove parenthesis around (23 + 43i) z2 + -2iz + -1z + 23 + 43i = 0 Reorder the terms: 23 + 43i + -2iz + -1z + z2 = 0 Solving 23 + 43i + -2iz + -1z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + 43i + -2iz + -1z + -23 + z2 = 0 + -23 Reorder the terms: 23 + -23 + 43i + -2iz + -1z + z2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 43i + -2iz + -1z + z2 = 0 + -23 43i + -2iz + -1z + z2 = 0 + -23 Combine like terms: 0 + -23 = -23 43i + -2iz + -1z + z2 = -23 Add 'z' to each side of the equation. 43i + -2iz + -1z + z + z2 = -23 + z Combine like terms: -1z + z = 0 43i + -2iz + 0 + z2 = -23 + z 43i + -2iz + z2 = -23 + z Add '-1z2' to each side of the equation. 43i + -2iz + z2 + -1z2 = -23 + z + -1z2 Combine like terms: z2 + -1z2 = 0 43i + -2iz + 0 = -23 + z + -1z2 43i + -2iz = -23 + z + -1z2 Reorder the terms: 23 + 43i + -2iz + -1z + z2 = -23 + z + -1z2 + 23 + -1z + z2 Reorder the terms: 23 + 43i + -2iz + -1z + z2 = -23 + 23 + z + -1z + -1z2 + z2 Combine like terms: -23 + 23 = 0 23 + 43i + -2iz + -1z + z2 = 0 + z + -1z + -1z2 + z2 23 + 43i + -2iz + -1z + z2 = z + -1z + -1z2 + z2 Combine like terms: z + -1z = 0 23 + 43i + -2iz + -1z + z2 = 0 + -1z2 + z2 23 + 43i + -2iz + -1z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 23 + 43i + -2iz + -1z + z2 = 0 The solution to this equation could not be determined.
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