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Simplifying z3 + 2iz2 + -4z + -8i = 4i Reorder the terms: -8i + 2iz2 + -4z + z3 = 4i Solving -8i + 2iz2 + -4z + z3 = 4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. -8i + 2iz2 + -4z + -4i + z3 = 4i + -4i Reorder the terms: -8i + -4i + 2iz2 + -4z + z3 = 4i + -4i Combine like terms: -8i + -4i = -12i -12i + 2iz2 + -4z + z3 = 4i + -4i Combine like terms: 4i + -4i = 0 -12i + 2iz2 + -4z + z3 = 0 Add '4z' to each side of the equation. -12i + 2iz2 + -4z + 4z + z3 = 0 + 4z Combine like terms: -4z + 4z = 0 -12i + 2iz2 + 0 + z3 = 0 + 4z -12i + 2iz2 + z3 = 0 + 4z Remove the zero: -12i + 2iz2 + z3 = 4z Add '-1z3' to each side of the equation. -12i + 2iz2 + z3 + -1z3 = 4z + -1z3 Combine like terms: z3 + -1z3 = 0 -12i + 2iz2 + 0 = 4z + -1z3 -12i + 2iz2 = 4z + -1z3 Reorder the terms: -12i + 2iz2 + -4z + z3 = 4z + -4z + -1z3 + z3 Combine like terms: 4z + -4z = 0 -12i + 2iz2 + -4z + z3 = 0 + -1z3 + z3 -12i + 2iz2 + -4z + z3 = -1z3 + z3 Combine like terms: -1z3 + z3 = 0 -12i + 2iz2 + -4z + z3 = 0 The solution to this equation could not be determined.
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