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📰 z^4 + 4z^2 + 4 = (z^2 + 2)^2 = 0 📰 So indeed, \( (z^2 + 2)^2 = 0 \), so roots are \( z = \pm i\sqrt{2} \), each with multiplicity 2. But the **set of distinct roots** is still two: \( i\sqrt{2}, -i\sqrt{2} \), each included twice. But the problem asks for **the sum of the real parts of all complex numbers \( z \)** satisfying the equation. Since real part is 0 for each, even with multiplicity, the sum is still \( 0 + 0 = 0 \). 📰 Alternatively, interpret as sum over all **solutions** (with multiplicity or not)? But in algebraic contexts like this, unless specified, we consider distinct roots or with multiplicity. But multiplicity doesn't affect real part — each root contributes its real part once in evaluation, but the real part function is defined per root. However, in such symmetric cases, we sum over distinct roots unless told otherwise. 📰 Kubos Cry Stops Us From Vanishingwill You Be Invisible Too 📰 Kubos Dark Secret How Invisibility Backfires On Him 📰 Kuina Obsessed Youll Never Guess What This Secret Jamaican Spice Does To Hygiene 📰 Kuina Revolution How This Mouthwatering Blend Is Taking Over The World In 2024 📰 Kuina Unveiled The Remote Ingredient Proving Its The Ultimate Flavor Booster 📰 L 2 Times Frac143 3 Frac283 Frac93 Frac373 Approx 1233 Text Meters 📰 L 2W 3 📰 La Concentracin Aumenta Un 15 Cada Hora Por Lo Que El Factor Por El Cual Crece Cada Hora Es 1 015 115 📰 La Cultura Se Duplica Cada 3 Horas Por Lo Que El Factor De Duplicacin Es 2 📰 La Poblacin Crece Un 25 Cada Mes Por Lo Que El Factor De Crecimiento Es 1 025 125 📰 La Poblacin Se Triplica Cada 2 Semanas Por Lo Que El Factor De Crecimiento Es 3 📰 La Sustancia Se Descompone Un 10 Cada Da Por Lo Que El Factor De Descomposicin Es 1 010 090 📰 La Tarifa Aumenta Un 20 Cada Ao Por Lo Que El Factor De Aumento Es 1 020 120 📰 Lace Top Fashion Bomb Alert Five Ways This Piece Clears Out Your Closet 📰 Lace Top Hacks Everyones Obsessed Withflatter Your Figure Instantly