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Simplifying z2 + (5 + -3i) * z + 4 + -7i = 0 Reorder the terms for easier multiplication: z2 + z(5 + -3i) + 4 + -7i = 0 z2 + (5 * z + -3i * z) + 4 + -7i = 0 Reorder the terms: z2 + (-3iz + 5z) + 4 + -7i = 0 z2 + (-3iz + 5z) + 4 + -7i = 0 Reorder the terms: 4 + -7i + -3iz + 5z + z2 = 0 Solving 4 + -7i + -3iz + 5z + 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 + -7i + -3iz + 5z + -4 + z2 = 0 + -4 Reorder the terms: 4 + -4 + -7i + -3iz + 5z + z2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7i + -3iz + 5z + z2 = 0 + -4 -7i + -3iz + 5z + z2 = 0 + -4 Combine like terms: 0 + -4 = -4 -7i + -3iz + 5z + z2 = -4 Add '-5z' to each side of the equation. -7i + -3iz + 5z + -5z + z2 = -4 + -5z Combine like terms: 5z + -5z = 0 -7i + -3iz + 0 + z2 = -4 + -5z -7i + -3iz + z2 = -4 + -5z Add '-1z2' to each side of the equation. -7i + -3iz + z2 + -1z2 = -4 + -5z + -1z2 Combine like terms: z2 + -1z2 = 0 -7i + -3iz + 0 = -4 + -5z + -1z2 -7i + -3iz = -4 + -5z + -1z2 Reorder the terms: 4 + -7i + -3iz + 5z + z2 = -4 + -5z + -1z2 + 4 + 5z + z2 Reorder the terms: 4 + -7i + -3iz + 5z + z2 = -4 + 4 + -5z + 5z + -1z2 + z2 Combine like terms: -4 + 4 = 0 4 + -7i + -3iz + 5z + z2 = 0 + -5z + 5z + -1z2 + z2 4 + -7i + -3iz + 5z + z2 = -5z + 5z + -1z2 + z2 Combine like terms: -5z + 5z = 0 4 + -7i + -3iz + 5z + z2 = 0 + -1z2 + z2 4 + -7i + -3iz + 5z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 4 + -7i + -3iz + 5z + z2 = 0 The solution to this equation could not be determined.
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