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Simplifying z2 + 2z + -2i = 0 Reorder the terms: -2i + 2z + z2 = 0 Solving -2i + 2z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2z' to each side of the equation. -2i + 2z + -2z + z2 = 0 + -2z Combine like terms: 2z + -2z = 0 -2i + 0 + z2 = 0 + -2z -2i + z2 = 0 + -2z Remove the zero: -2i + z2 = -2z Add '-1z2' to each side of the equation. -2i + z2 + -1z2 = -2z + -1z2 Combine like terms: z2 + -1z2 = 0 -2i + 0 = -2z + -1z2 -2i = -2z + -1z2 Divide each side by '-2'. i = z + 0.5z2 Simplifying i = z + 0.5z2
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