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