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Simplifying z2 + -8z + 11 + 12i = 0 Reorder the terms: 11 + 12i + -8z + z2 = 0 Solving 11 + 12i + -8z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 12i + -8z + -11 + z2 = 0 + -11 Reorder the terms: 11 + -11 + 12i + -8z + z2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 12i + -8z + z2 = 0 + -11 12i + -8z + z2 = 0 + -11 Combine like terms: 0 + -11 = -11 12i + -8z + z2 = -11 Add '8z' to each side of the equation. 12i + -8z + 8z + z2 = -11 + 8z Combine like terms: -8z + 8z = 0 12i + 0 + z2 = -11 + 8z 12i + z2 = -11 + 8z Add '-1z2' to each side of the equation. 12i + z2 + -1z2 = -11 + 8z + -1z2 Combine like terms: z2 + -1z2 = 0 12i + 0 = -11 + 8z + -1z2 12i = -11 + 8z + -1z2 Divide each side by '12'. i = -0.9166666667 + 0.6666666667z + -0.08333333333z2 Simplifying i = -0.9166666667 + 0.6666666667z + -0.08333333333z2
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