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Simplifying z2 + (1 + i) * z + -10 + 11i = 0 Reorder the terms for easier multiplication: z2 + z(1 + i) + -10 + 11i = 0 z2 + (1 * z + i * z) + -10 + 11i = 0 Reorder the terms: z2 + (iz + 1z) + -10 + 11i = 0 z2 + (iz + 1z) + -10 + 11i = 0 Reorder the terms: -10 + 11i + iz + 1z + z2 = 0 Solving -10 + 11i + iz + 1z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 11i + iz + 1z + 10 + z2 = 0 + 10 Reorder the terms: -10 + 10 + 11i + iz + 1z + z2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 11i + iz + 1z + z2 = 0 + 10 11i + iz + 1z + z2 = 0 + 10 Combine like terms: 0 + 10 = 10 11i + iz + 1z + z2 = 10 Add '-1z' to each side of the equation. 11i + iz + 1z + -1z + z2 = 10 + -1z Combine like terms: 1z + -1z = 0 11i + iz + 0 + z2 = 10 + -1z 11i + iz + z2 = 10 + -1z Add '-1z2' to each side of the equation. 11i + iz + z2 + -1z2 = 10 + -1z + -1z2 Combine like terms: z2 + -1z2 = 0 11i + iz + 0 = 10 + -1z + -1z2 11i + iz = 10 + -1z + -1z2 Reorder the terms: -10 + 11i + iz + z + z2 = 10 + -1z + -1z2 + -10 + z + z2 Reorder the terms: -10 + 11i + iz + z + z2 = 10 + -10 + -1z + z + -1z2 + z2 Combine like terms: 10 + -10 = 0 -10 + 11i + iz + z + z2 = 0 + -1z + z + -1z2 + z2 -10 + 11i + iz + z + z2 = -1z + z + -1z2 + z2 Combine like terms: -1z + z = 0 -10 + 11i + iz + z + z2 = 0 + -1z2 + z2 -10 + 11i + iz + z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -10 + 11i + iz + z + z2 = 0 The solution to this equation could not be determined.
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