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Simplifying z2 + 16 + 30i = 0 Reorder the terms: 16 + 30i + z2 = 0 Solving 16 + 30i + 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 + 30i + -16 + z2 = 0 + -16 Reorder the terms: 16 + -16 + 30i + z2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 30i + z2 = 0 + -16 30i + z2 = 0 + -16 Combine like terms: 0 + -16 = -16 30i + z2 = -16 Add '-1z2' to each side of the equation. 30i + z2 + -1z2 = -16 + -1z2 Combine like terms: z2 + -1z2 = 0 30i + 0 = -16 + -1z2 30i = -16 + -1z2 Divide each side by '30'. i = -0.5333333333 + -0.03333333333z2 Simplifying i = -0.5333333333 + -0.03333333333z2
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