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Simplifying z4 + -1(3 + -1i) * z2 + -3i = 0 Reorder the terms for easier multiplication: z4 + -1z2(3 + -1i) + -3i = 0 z4 + (3 * -1z2 + -1i * -1z2) + -3i = 0 Reorder the terms: z4 + (1iz2 + -3z2) + -3i = 0 z4 + (1iz2 + -3z2) + -3i = 0 Reorder the terms: -3i + 1iz2 + -3z2 + z4 = 0 Solving -3i + 1iz2 + -3z2 + z4 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3z2' to each side of the equation. -3i + 1iz2 + -3z2 + 3z2 + z4 = 0 + 3z2 Combine like terms: -3z2 + 3z2 = 0 -3i + 1iz2 + 0 + z4 = 0 + 3z2 -3i + 1iz2 + z4 = 0 + 3z2 Remove the zero: -3i + 1iz2 + z4 = 3z2 Add '-1z4' to each side of the equation. -3i + 1iz2 + z4 + -1z4 = 3z2 + -1z4 Combine like terms: z4 + -1z4 = 0 -3i + 1iz2 + 0 = 3z2 + -1z4 -3i + 1iz2 = 3z2 + -1z4 Reorder the terms: -3i + 1iz2 + -3z2 + z4 = 3z2 + -3z2 + -1z4 + z4 Combine like terms: 3z2 + -3z2 = 0 -3i + 1iz2 + -3z2 + z4 = 0 + -1z4 + z4 -3i + 1iz2 + -3z2 + z4 = -1z4 + z4 Combine like terms: -1z4 + z4 = 0 -3i + 1iz2 + -3z2 + z4 = 0 The solution to this equation could not be determined.
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