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Simplifying z2 + z(2 + 4i) + -6 + 8i = 0 z2 + (2 * z + 4i * z) + -6 + 8i = 0 Reorder the terms: z2 + (4iz + 2z) + -6 + 8i = 0 z2 + (4iz + 2z) + -6 + 8i = 0 Reorder the terms: -6 + 8i + 4iz + 2z + z2 = 0 Solving -6 + 8i + 4iz + 2z + 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 + 8i + 4iz + 2z + 6 + z2 = 0 + 6 Reorder the terms: -6 + 6 + 8i + 4iz + 2z + z2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 8i + 4iz + 2z + z2 = 0 + 6 8i + 4iz + 2z + z2 = 0 + 6 Combine like terms: 0 + 6 = 6 8i + 4iz + 2z + z2 = 6 Add '-2z' to each side of the equation. 8i + 4iz + 2z + -2z + z2 = 6 + -2z Combine like terms: 2z + -2z = 0 8i + 4iz + 0 + z2 = 6 + -2z 8i + 4iz + z2 = 6 + -2z Add '-1z2' to each side of the equation. 8i + 4iz + z2 + -1z2 = 6 + -2z + -1z2 Combine like terms: z2 + -1z2 = 0 8i + 4iz + 0 = 6 + -2z + -1z2 8i + 4iz = 6 + -2z + -1z2 Reorder the terms: -6 + 8i + 4iz + 2z + z2 = 6 + -2z + -1z2 + -6 + 2z + z2 Reorder the terms: -6 + 8i + 4iz + 2z + z2 = 6 + -6 + -2z + 2z + -1z2 + z2 Combine like terms: 6 + -6 = 0 -6 + 8i + 4iz + 2z + z2 = 0 + -2z + 2z + -1z2 + z2 -6 + 8i + 4iz + 2z + z2 = -2z + 2z + -1z2 + z2 Combine like terms: -2z + 2z = 0 -6 + 8i + 4iz + 2z + z2 = 0 + -1z2 + z2 -6 + 8i + 4iz + 2z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -6 + 8i + 4iz + 2z + z2 = 0 The solution to this equation could not be determined.
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