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Simplifying In(x + iy) = e2iy Reorder the terms: nI(iy + x) = e2iy (iy * nI + x * nI) = e2iy (inyI + nxI) = e2iy Solving inyI + nxI = e2iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1e2iy' to each side of the equation. inyI + -1e2iy + nxI = e2iy + -1e2iy Reorder the terms: -1e2iy + inyI + nxI = e2iy + -1e2iy Combine like terms: e2iy + -1e2iy = 0 -1e2iy + inyI + nxI = 0 Add '-1nxI' to each side of the equation. -1e2iy + inyI + nxI + -1nxI = 0 + -1nxI Combine like terms: nxI + -1nxI = 0 -1e2iy + inyI + 0 = 0 + -1nxI -1e2iy + inyI = 0 + -1nxI Remove the zero: -1e2iy + inyI = -1nxI Combine like terms: -1nxI + nxI = 0 -1e2iy + inyI + nxI = 0 The solution to this equation could not be determined.
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