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