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Simplifying z2 + Re(3iz) + 2 = 0 Remove parenthesis around (3iz) z2 + eR * 3iz + 2 = 0 Reorder the terms for easier multiplication: z2 + 3eR * iz + 2 = 0 Multiply eR * iz z2 + 3eizR + 2 = 0 Reorder the terms: 2 + 3eizR + z2 = 0 Solving 2 + 3eizR + z2 = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3eizR + -2 + z2 = 0 + -2 Reorder the terms: 2 + -2 + 3eizR + z2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3eizR + z2 = 0 + -2 3eizR + z2 = 0 + -2 Combine like terms: 0 + -2 = -2 3eizR + z2 = -2 Add '-1z2' to each side of the equation. 3eizR + z2 + -1z2 = -2 + -1z2 Combine like terms: z2 + -1z2 = 0 3eizR + 0 = -2 + -1z2 3eizR = -2 + -1z2 Divide each side by '3izR'. e = -0.6666666667i-1z-1R-1 + -0.3333333333i-1zR-1 Simplifying e = -0.6666666667i-1z-1R-1 + -0.3333333333i-1zR-1
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