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Simplifying z * 8 + (3 + -1i) * z * 4 + -3i = 0 Reorder the terms for easier multiplication: 8z + (3 + -1i) * z * 4 + -3i = 0 Reorder the terms for easier multiplication: 8z + 4z(3 + -1i) + -3i = 0 8z + (3 * 4z + -1i * 4z) + -3i = 0 Reorder the terms: 8z + (-4iz + 12z) + -3i = 0 8z + (-4iz + 12z) + -3i = 0 Reorder the terms: -3i + -4iz + 8z + 12z = 0 Combine like terms: 8z + 12z = 20z -3i + -4iz + 20z = 0 Solving -3i + -4iz + 20z = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-20z' to each side of the equation. -3i + -4iz + 20z + -20z = 0 + -20z Combine like terms: 20z + -20z = 0 -3i + -4iz + 0 = 0 + -20z -3i + -4iz = 0 + -20z Remove the zero: -3i + -4iz = -20z Combine like terms: -20z + 20z = 0 -3i + -4iz + 20z = 0 The solution to this equation could not be determined.
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