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Simplifying z3 + -1i * z2 + 4z + -4i = 0 Multiply i * z2 z3 + -1iz2 + 4z + -4i = 0 Reorder the terms: -4i + -1iz2 + 4z + z3 = 0 Solving -4i + -1iz2 + 4z + z3 = 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 + -1iz2 + 4z + -4z + z3 = 0 + -4z Combine like terms: 4z + -4z = 0 -4i + -1iz2 + 0 + z3 = 0 + -4z -4i + -1iz2 + z3 = 0 + -4z Remove the zero: -4i + -1iz2 + z3 = -4z Add '-1z3' to each side of the equation. -4i + -1iz2 + z3 + -1z3 = -4z + -1z3 Combine like terms: z3 + -1z3 = 0 -4i + -1iz2 + 0 = -4z + -1z3 -4i + -1iz2 = -4z + -1z3 Reorder the terms: -4i + -1iz2 + 4z + z3 = -4z + 4z + -1z3 + z3 Combine like terms: -4z + 4z = 0 -4i + -1iz2 + 4z + z3 = 0 + -1z3 + z3 -4i + -1iz2 + 4z + z3 = -1z3 + z3 Combine like terms: -1z3 + z3 = 0 -4i + -1iz2 + 4z + z3 = 0 The solution to this equation could not be determined.
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