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Simplifying 3z2 + 2iz + -1 = 0 Reorder the terms: -1 + 2iz + 3z2 = 0 Solving -1 + 2iz + 3z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2iz + 1 + 3z2 = 0 + 1 Reorder the terms: -1 + 1 + 2iz + 3z2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2iz + 3z2 = 0 + 1 2iz + 3z2 = 0 + 1 Combine like terms: 0 + 1 = 1 2iz + 3z2 = 1 Add '-3z2' to each side of the equation. 2iz + 3z2 + -3z2 = 1 + -3z2 Combine like terms: 3z2 + -3z2 = 0 2iz + 0 = 1 + -3z2 2iz = 1 + -3z2 Divide each side by '2z'. i = 0.5z-1 + -1.5z Simplifying i = 0.5z-1 + -1.5z
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