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Simplifying z * 2 + -1(3 + -4i) * z + -1 + -5i = 0 Reorder the terms for easier multiplication: 2z + -1(3 + -4i) * z + -1 + -5i = 0 Reorder the terms for easier multiplication: 2z + -1z(3 + -4i) + -1 + -5i = 0 2z + (3 * -1z + -4i * -1z) + -1 + -5i = 0 Reorder the terms: 2z + (4iz + -3z) + -1 + -5i = 0 2z + (4iz + -3z) + -1 + -5i = 0 Reorder the terms: -1 + -5i + 4iz + 2z + -3z = 0 Combine like terms: 2z + -3z = -1z -1 + -5i + 4iz + -1z = 0 Solving -1 + -5i + 4iz + -1z = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -5i + 4iz + 1 + -1z = 0 + 1 Reorder the terms: -1 + 1 + -5i + 4iz + -1z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5i + 4iz + -1z = 0 + 1 -5i + 4iz + -1z = 0 + 1 Combine like terms: 0 + 1 = 1 -5i + 4iz + -1z = 1 Add 'z' to each side of the equation. -5i + 4iz + -1z + z = 1 + z Combine like terms: -1z + z = 0 -5i + 4iz + 0 = 1 + z -5i + 4iz = 1 + z Reorder the terms: -1 + -5i + 4iz + -1z = 1 + z + -1 + -1z Reorder the terms: -1 + -5i + 4iz + -1z = 1 + -1 + z + -1z Combine like terms: 1 + -1 = 0 -1 + -5i + 4iz + -1z = 0 + z + -1z -1 + -5i + 4iz + -1z = z + -1z Combine like terms: z + -1z = 0 -1 + -5i + 4iz + -1z = 0 The solution to this equation could not be determined.
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