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Simplifying z2 + -1(3 + 6i) * z + -1(4 + -24i) = 0 Reorder the terms for easier multiplication: z2 + -1z(3 + 6i) + -1(4 + -24i) = 0 z2 + (3 * -1z + 6i * -1z) + -1(4 + -24i) = 0 Reorder the terms: z2 + (-6iz + -3z) + -1(4 + -24i) = 0 z2 + (-6iz + -3z) + -1(4 + -24i) = 0 z2 + -6iz + -3z + (4 * -1 + -24i * -1) = 0 z2 + -6iz + -3z + (-4 + 24i) = 0 Reorder the terms: -4 + 24i + -6iz + -3z + z2 = 0 Solving -4 + 24i + -6iz + -3z + 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 + 24i + -6iz + -3z + 4 + z2 = 0 + 4 Reorder the terms: -4 + 4 + 24i + -6iz + -3z + z2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 24i + -6iz + -3z + z2 = 0 + 4 24i + -6iz + -3z + z2 = 0 + 4 Combine like terms: 0 + 4 = 4 24i + -6iz + -3z + z2 = 4 Add '3z' to each side of the equation. 24i + -6iz + -3z + 3z + z2 = 4 + 3z Combine like terms: -3z + 3z = 0 24i + -6iz + 0 + z2 = 4 + 3z 24i + -6iz + z2 = 4 + 3z Add '-1z2' to each side of the equation. 24i + -6iz + z2 + -1z2 = 4 + 3z + -1z2 Combine like terms: z2 + -1z2 = 0 24i + -6iz + 0 = 4 + 3z + -1z2 24i + -6iz = 4 + 3z + -1z2 Reorder the terms: -4 + 24i + -6iz + -3z + z2 = 4 + 3z + -1z2 + -4 + -3z + z2 Reorder the terms: -4 + 24i + -6iz + -3z + z2 = 4 + -4 + 3z + -3z + -1z2 + z2 Combine like terms: 4 + -4 = 0 -4 + 24i + -6iz + -3z + z2 = 0 + 3z + -3z + -1z2 + z2 -4 + 24i + -6iz + -3z + z2 = 3z + -3z + -1z2 + z2 Combine like terms: 3z + -3z = 0 -4 + 24i + -6iz + -3z + z2 = 0 + -1z2 + z2 -4 + 24i + -6iz + -3z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -4 + 24i + -6iz + -3z + z2 = 0 The solution to this equation could not be determined.
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