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