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