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