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Simplifying (1 + i)(z2) + -3z + 2 + -1i = 0 Reorder the terms for easier multiplication: z2(1 + i) + -3z + 2 + -1i = 0 (1 * z2 + i * z2) + -3z + 2 + -1i = 0 Reorder the terms: (iz2 + 1z2) + -3z + 2 + -1i = 0 (iz2 + 1z2) + -3z + 2 + -1i = 0 Reorder the terms: 2 + -1i + iz2 + -3z + 1z2 = 0 Solving 2 + -1i + iz2 + -3z + 1z2 = 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 + -1i + iz2 + -3z + -2 + 1z2 = 0 + -2 Reorder the terms: 2 + -2 + -1i + iz2 + -3z + 1z2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1i + iz2 + -3z + 1z2 = 0 + -2 -1i + iz2 + -3z + 1z2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1i + iz2 + -3z + 1z2 = -2 Add '3z' to each side of the equation. -1i + iz2 + -3z + 3z + 1z2 = -2 + 3z Combine like terms: -3z + 3z = 0 -1i + iz2 + 0 + 1z2 = -2 + 3z -1i + iz2 + 1z2 = -2 + 3z Add '-1z2' to each side of the equation. -1i + iz2 + 1z2 + -1z2 = -2 + 3z + -1z2 Combine like terms: 1z2 + -1z2 = 0 -1i + iz2 + 0 = -2 + 3z + -1z2 -1i + iz2 = -2 + 3z + -1z2 Reorder the terms: 2 + -1i + iz2 + -3z + z2 = -2 + 3z + -1z2 + 2 + -3z + z2 Reorder the terms: 2 + -1i + iz2 + -3z + z2 = -2 + 2 + 3z + -3z + -1z2 + z2 Combine like terms: -2 + 2 = 0 2 + -1i + iz2 + -3z + z2 = 0 + 3z + -3z + -1z2 + z2 2 + -1i + iz2 + -3z + z2 = 3z + -3z + -1z2 + z2 Combine like terms: 3z + -3z = 0 2 + -1i + iz2 + -3z + z2 = 0 + -1z2 + z2 2 + -1i + iz2 + -3z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 2 + -1i + iz2 + -3z + z2 = 0 The solution to this equation could not be determined.
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