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Simplifying z2 + (-5 + i) * z + 6 + -2i = 0 Reorder the terms for easier multiplication: z2 + z(-5 + i) + 6 + -2i = 0 z2 + (-5 * z + i * z) + 6 + -2i = 0 Reorder the terms: z2 + (iz + -5z) + 6 + -2i = 0 z2 + (iz + -5z) + 6 + -2i = 0 Reorder the terms: 6 + -2i + iz + -5z + z2 = 0 Solving 6 + -2i + iz + -5z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -2i + iz + -5z + -6 + z2 = 0 + -6 Reorder the terms: 6 + -6 + -2i + iz + -5z + z2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2i + iz + -5z + z2 = 0 + -6 -2i + iz + -5z + z2 = 0 + -6 Combine like terms: 0 + -6 = -6 -2i + iz + -5z + z2 = -6 Add '5z' to each side of the equation. -2i + iz + -5z + 5z + z2 = -6 + 5z Combine like terms: -5z + 5z = 0 -2i + iz + 0 + z2 = -6 + 5z -2i + iz + z2 = -6 + 5z Add '-1z2' to each side of the equation. -2i + iz + z2 + -1z2 = -6 + 5z + -1z2 Combine like terms: z2 + -1z2 = 0 -2i + iz + 0 = -6 + 5z + -1z2 -2i + iz = -6 + 5z + -1z2 Reorder the terms: 6 + -2i + iz + -5z + z2 = -6 + 5z + -1z2 + 6 + -5z + z2 Reorder the terms: 6 + -2i + iz + -5z + z2 = -6 + 6 + 5z + -5z + -1z2 + z2 Combine like terms: -6 + 6 = 0 6 + -2i + iz + -5z + z2 = 0 + 5z + -5z + -1z2 + z2 6 + -2i + iz + -5z + z2 = 5z + -5z + -1z2 + z2 Combine like terms: 5z + -5z = 0 6 + -2i + iz + -5z + z2 = 0 + -1z2 + z2 6 + -2i + iz + -5z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 6 + -2i + iz + -5z + z2 = 0 The solution to this equation could not be determined.
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