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Simplifying z2 + 4iz + 6(2 + -5i) = 0 z2 + 4iz + (2 * 6 + -5i * 6) = 0 z2 + 4iz + (12 + -30i) = 0 Reorder the terms: 12 + -30i + 4iz + z2 = 0 Solving 12 + -30i + 4iz + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -30i + 4iz + -12 + z2 = 0 + -12 Reorder the terms: 12 + -12 + -30i + 4iz + z2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -30i + 4iz + z2 = 0 + -12 -30i + 4iz + z2 = 0 + -12 Combine like terms: 0 + -12 = -12 -30i + 4iz + z2 = -12 Add '-1z2' to each side of the equation. -30i + 4iz + z2 + -1z2 = -12 + -1z2 Combine like terms: z2 + -1z2 = 0 -30i + 4iz + 0 = -12 + -1z2 -30i + 4iz = -12 + -1z2 Reorder the terms: 12 + -30i + 4iz + z2 = -12 + -1z2 + 12 + z2 Reorder the terms: 12 + -30i + 4iz + z2 = -12 + 12 + -1z2 + z2 Combine like terms: -12 + 12 = 0 12 + -30i + 4iz + z2 = 0 + -1z2 + z2 12 + -30i + 4iz + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 12 + -30i + 4iz + z2 = 0 The solution to this equation could not be determined.
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