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