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Simplifying (1 + i) * z2 + -2(2 + -3i) * z + -4i = 0 Reorder the terms for easier multiplication: z2(1 + i) + -2(2 + -3i) * z + -4i = 0 (1 * z2 + i * z2) + -2(2 + -3i) * z + -4i = 0 Reorder the terms: (iz2 + 1z2) + -2(2 + -3i) * z + -4i = 0 (iz2 + 1z2) + -2(2 + -3i) * z + -4i = 0 Reorder the terms for easier multiplication: iz2 + 1z2 + -2z(2 + -3i) + -4i = 0 iz2 + 1z2 + (2 * -2z + -3i * -2z) + -4i = 0 Reorder the terms: iz2 + 1z2 + (6iz + -4z) + -4i = 0 iz2 + 1z2 + (6iz + -4z) + -4i = 0 Reorder the terms: -4i + 6iz + iz2 + -4z + 1z2 = 0 Solving -4i + 6iz + iz2 + -4z + 1z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4z' to each side of the equation. -4i + 6iz + iz2 + -4z + 4z + 1z2 = 0 + 4z Combine like terms: -4z + 4z = 0 -4i + 6iz + iz2 + 0 + 1z2 = 0 + 4z -4i + 6iz + iz2 + 1z2 = 0 + 4z Remove the zero: -4i + 6iz + iz2 + 1z2 = 4z Add '-1z2' to each side of the equation. -4i + 6iz + iz2 + 1z2 + -1z2 = 4z + -1z2 Combine like terms: 1z2 + -1z2 = 0 -4i + 6iz + iz2 + 0 = 4z + -1z2 -4i + 6iz + iz2 = 4z + -1z2 Reorder the terms: -4i + 6iz + iz2 + -4z + z2 = 4z + -4z + -1z2 + z2 Combine like terms: 4z + -4z = 0 -4i + 6iz + iz2 + -4z + z2 = 0 + -1z2 + z2 -4i + 6iz + iz2 + -4z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -4i + 6iz + iz2 + -4z + z2 = 0 The solution to this equation could not be determined.
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