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Simplifying 2z2 + 3iz + -1 = 0 Reorder the terms: -1 + 3iz + 2z2 = 0 Solving -1 + 3iz + 2z2 = 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 + 3iz + 1 + 2z2 = 0 + 1 Reorder the terms: -1 + 1 + 3iz + 2z2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3iz + 2z2 = 0 + 1 3iz + 2z2 = 0 + 1 Combine like terms: 0 + 1 = 1 3iz + 2z2 = 1 Add '-2z2' to each side of the equation. 3iz + 2z2 + -2z2 = 1 + -2z2 Combine like terms: 2z2 + -2z2 = 0 3iz + 0 = 1 + -2z2 3iz = 1 + -2z2 Divide each side by '3z'. i = 0.3333333333z-1 + -0.6666666667z Simplifying i = 0.3333333333z-1 + -0.6666666667z
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