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Simplifying z2 + (8 + -2i) * z + 39 + -8i = 0 Reorder the terms for easier multiplication: z2 + z(8 + -2i) + 39 + -8i = 0 z2 + (8 * z + -2i * z) + 39 + -8i = 0 Reorder the terms: z2 + (-2iz + 8z) + 39 + -8i = 0 z2 + (-2iz + 8z) + 39 + -8i = 0 Reorder the terms: 39 + -8i + -2iz + 8z + z2 = 0 Solving 39 + -8i + -2iz + 8z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -8i + -2iz + 8z + -39 + z2 = 0 + -39 Reorder the terms: 39 + -39 + -8i + -2iz + 8z + z2 = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -8i + -2iz + 8z + z2 = 0 + -39 -8i + -2iz + 8z + z2 = 0 + -39 Combine like terms: 0 + -39 = -39 -8i + -2iz + 8z + z2 = -39 Add '-8z' to each side of the equation. -8i + -2iz + 8z + -8z + z2 = -39 + -8z Combine like terms: 8z + -8z = 0 -8i + -2iz + 0 + z2 = -39 + -8z -8i + -2iz + z2 = -39 + -8z Add '-1z2' to each side of the equation. -8i + -2iz + z2 + -1z2 = -39 + -8z + -1z2 Combine like terms: z2 + -1z2 = 0 -8i + -2iz + 0 = -39 + -8z + -1z2 -8i + -2iz = -39 + -8z + -1z2 Reorder the terms: 39 + -8i + -2iz + 8z + z2 = -39 + -8z + -1z2 + 39 + 8z + z2 Reorder the terms: 39 + -8i + -2iz + 8z + z2 = -39 + 39 + -8z + 8z + -1z2 + z2 Combine like terms: -39 + 39 = 0 39 + -8i + -2iz + 8z + z2 = 0 + -8z + 8z + -1z2 + z2 39 + -8i + -2iz + 8z + z2 = -8z + 8z + -1z2 + z2 Combine like terms: -8z + 8z = 0 39 + -8i + -2iz + 8z + z2 = 0 + -1z2 + z2 39 + -8i + -2iz + 8z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 39 + -8i + -2iz + 8z + z2 = 0 The solution to this equation could not be determined.
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