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Simplifying z2 + -2z + -2 + 4i = 0 Reorder the terms: -2 + 4i + -2z + z2 = 0 Solving -2 + 4i + -2z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 4i + -2z + 2 + z2 = 0 + 2 Reorder the terms: -2 + 2 + 4i + -2z + z2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4i + -2z + z2 = 0 + 2 4i + -2z + z2 = 0 + 2 Combine like terms: 0 + 2 = 2 4i + -2z + z2 = 2 Add '2z' to each side of the equation. 4i + -2z + 2z + z2 = 2 + 2z Combine like terms: -2z + 2z = 0 4i + 0 + z2 = 2 + 2z 4i + z2 = 2 + 2z Add '-1z2' to each side of the equation. 4i + z2 + -1z2 = 2 + 2z + -1z2 Combine like terms: z2 + -1z2 = 0 4i + 0 = 2 + 2z + -1z2 4i = 2 + 2z + -1z2 Divide each side by '4'. i = 0.5 + 0.5z + -0.25z2 Simplifying i = 0.5 + 0.5z + -0.25z2
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