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Simplifying (lnz + -1i) * lnz + 2 = 0 Reorder the terms: (-1i + lnz) * lnz + 2 = 0 Reorder the terms for easier multiplication: lnz(-1i + lnz) + 2 = 0 (-1i * lnz + lnz * lnz) + 2 = 0 (-1ilnz + l2n2z2) + 2 = 0 Reorder the terms: 2 + -1ilnz + l2n2z2 = 0 Solving 2 + -1ilnz + l2n2z2 = 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 + -1ilnz + -2 + l2n2z2 = 0 + -2 Reorder the terms: 2 + -2 + -1ilnz + l2n2z2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1ilnz + l2n2z2 = 0 + -2 -1ilnz + l2n2z2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1ilnz + l2n2z2 = -2 Add '-1l2n2z2' to each side of the equation. -1ilnz + l2n2z2 + -1l2n2z2 = -2 + -1l2n2z2 Combine like terms: l2n2z2 + -1l2n2z2 = 0 -1ilnz + 0 = -2 + -1l2n2z2 -1ilnz = -2 + -1l2n2z2 Divide each side by '-1lnz'. i = 2l-1n-1z-1 + lnz Simplifying i = 2l-1n-1z-1 + lnz
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