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Simplifying z2 + 3iz + 2 = 0 Reorder the terms: 2 + 3iz + z2 = 0 Solving 2 + 3iz + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3iz + -2 + z2 = 0 + -2 Reorder the terms: 2 + -2 + 3iz + z2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3iz + z2 = 0 + -2 3iz + z2 = 0 + -2 Combine like terms: 0 + -2 = -2 3iz + z2 = -2 Add '-1z2' to each side of the equation. 3iz + z2 + -1z2 = -2 + -1z2 Combine like terms: z2 + -1z2 = 0 3iz + 0 = -2 + -1z2 3iz = -2 + -1z2 Divide each side by '3z'. i = -0.6666666667z-1 + -0.3333333333z Simplifying i = -0.6666666667z-1 + -0.3333333333z
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