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Simplifying z3 + 5z + 12iz = 0 Reorder the terms: 12iz + 5z + z3 = 0 Solving 12iz + 5z + z3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5z' to each side of the equation. 12iz + 5z + -5z + z3 = 0 + -5z Combine like terms: 5z + -5z = 0 12iz + 0 + z3 = 0 + -5z 12iz + z3 = 0 + -5z Remove the zero: 12iz + z3 = -5z Add '-1z3' to each side of the equation. 12iz + z3 + -1z3 = -5z + -1z3 Combine like terms: z3 + -1z3 = 0 12iz + 0 = -5z + -1z3 12iz = -5z + -1z3 Divide each side by '12z'. i = -0.4166666667 + -0.08333333333z2 Simplifying i = -0.4166666667 + -0.08333333333z2
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