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Simplifying z2 + -8z + 16 + -2i = 0 Reorder the terms: 16 + -2i + -8z + z2 = 0 Solving 16 + -2i + -8z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -2i + -8z + -16 + z2 = 0 + -16 Reorder the terms: 16 + -16 + -2i + -8z + z2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2i + -8z + z2 = 0 + -16 -2i + -8z + z2 = 0 + -16 Combine like terms: 0 + -16 = -16 -2i + -8z + z2 = -16 Add '8z' to each side of the equation. -2i + -8z + 8z + z2 = -16 + 8z Combine like terms: -8z + 8z = 0 -2i + 0 + z2 = -16 + 8z -2i + z2 = -16 + 8z Add '-1z2' to each side of the equation. -2i + z2 + -1z2 = -16 + 8z + -1z2 Combine like terms: z2 + -1z2 = 0 -2i + 0 = -16 + 8z + -1z2 -2i = -16 + 8z + -1z2 Divide each side by '-2'. i = 8 + -4z + 0.5z2 Simplifying i = 8 + -4z + 0.5z2
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