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Simplifying z8 + (3 + -1i) * z4 + -3i = 0 Reorder the terms for easier multiplication: z8 + z4(3 + -1i) + -3i = 0 z8 + (3 * z4 + -1i * z4) + -3i = 0 Reorder the terms: z8 + (-1iz4 + 3z4) + -3i = 0 z8 + (-1iz4 + 3z4) + -3i = 0 Reorder the terms: -3i + -1iz4 + 3z4 + z8 = 0 Solving -3i + -1iz4 + 3z4 + z8 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3z4' to each side of the equation. -3i + -1iz4 + 3z4 + -3z4 + z8 = 0 + -3z4 Combine like terms: 3z4 + -3z4 = 0 -3i + -1iz4 + 0 + z8 = 0 + -3z4 -3i + -1iz4 + z8 = 0 + -3z4 Remove the zero: -3i + -1iz4 + z8 = -3z4 Add '-1z8' to each side of the equation. -3i + -1iz4 + z8 + -1z8 = -3z4 + -1z8 Combine like terms: z8 + -1z8 = 0 -3i + -1iz4 + 0 = -3z4 + -1z8 -3i + -1iz4 = -3z4 + -1z8 Reorder the terms: -3i + -1iz4 + 3z4 + z8 = -3z4 + 3z4 + -1z8 + z8 Combine like terms: -3z4 + 3z4 = 0 -3i + -1iz4 + 3z4 + z8 = 0 + -1z8 + z8 -3i + -1iz4 + 3z4 + z8 = -1z8 + z8 Combine like terms: -1z8 + z8 = 0 -3i + -1iz4 + 3z4 + z8 = 0 The solution to this equation could not be determined.
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