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