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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 = -1z + 0.5z2 Simplifying i = -1z + 0.5z2
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