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Simplifying z2 + -1(2 + 3i) * z + 5 + 3i = 0 Reorder the terms for easier multiplication: z2 + -1z(2 + 3i) + 5 + 3i = 0 z2 + (2 * -1z + 3i * -1z) + 5 + 3i = 0 Reorder the terms: z2 + (-3iz + -2z) + 5 + 3i = 0 z2 + (-3iz + -2z) + 5 + 3i = 0 Reorder the terms: 5 + 3i + -3iz + -2z + z2 = 0 Solving 5 + 3i + -3iz + -2z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3i + -3iz + -2z + -5 + z2 = 0 + -5 Reorder the terms: 5 + -5 + 3i + -3iz + -2z + z2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3i + -3iz + -2z + z2 = 0 + -5 3i + -3iz + -2z + z2 = 0 + -5 Combine like terms: 0 + -5 = -5 3i + -3iz + -2z + z2 = -5 Add '2z' to each side of the equation. 3i + -3iz + -2z + 2z + z2 = -5 + 2z Combine like terms: -2z + 2z = 0 3i + -3iz + 0 + z2 = -5 + 2z 3i + -3iz + z2 = -5 + 2z Add '-1z2' to each side of the equation. 3i + -3iz + z2 + -1z2 = -5 + 2z + -1z2 Combine like terms: z2 + -1z2 = 0 3i + -3iz + 0 = -5 + 2z + -1z2 3i + -3iz = -5 + 2z + -1z2 Reorder the terms: 5 + 3i + -3iz + -2z + z2 = -5 + 2z + -1z2 + 5 + -2z + z2 Reorder the terms: 5 + 3i + -3iz + -2z + z2 = -5 + 5 + 2z + -2z + -1z2 + z2 Combine like terms: -5 + 5 = 0 5 + 3i + -3iz + -2z + z2 = 0 + 2z + -2z + -1z2 + z2 5 + 3i + -3iz + -2z + z2 = 2z + -2z + -1z2 + z2 Combine like terms: 2z + -2z = 0 5 + 3i + -3iz + -2z + z2 = 0 + -1z2 + z2 5 + 3i + -3iz + -2z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 5 + 3i + -3iz + -2z + z2 = 0 The solution to this equation could not be determined.
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