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Simplifying z(z + -1i) = je + 2 Reorder the terms: z(-1i + z) = je + 2 (-1i * z + z * z) = je + 2 (-1iz + z2) = je + 2 Reorder the terms: -1iz + z2 = 2 + ej Solving -1iz + z2 = 2 + ej Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1z2' to each side of the equation. -1iz + z2 + -1z2 = 2 + ej + -1z2 Combine like terms: z2 + -1z2 = 0 -1iz + 0 = 2 + ej + -1z2 -1iz = 2 + ej + -1z2 Divide each side by '-1z'. i = -2z-1 + -1ejz-1 + z Simplifying i = -2z-1 + -1ejz-1 + z Reorder the terms: i = -1ejz-1 + -2z-1 + z
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