Rez-Imz=1

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Solution for Rez-Imz=1 equation: 


Simplifying
Rez + -1Imz = 1

Solving
ezR + -1mzI = 1

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add 'mzI' to each side of the equation.
ezR + -1mzI + mzI = 1 + mzI

Combine like terms: -1mzI + mzI = 0
ezR + 0 = 1 + mzI
ezR = 1 + mzI

Divide each side by 'zR'.
e = z-1R-1 + mIR-1

Simplifying
e = z-1R-1 + mIR-1

Reorder the terms:
e = mIR-1 + z-1R-1

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