In(x-2)+in(2x)=0

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Solution for In(x-2)+in(2x)=0 equation: 


Simplifying
In(x + -2) + in(2x) = 0

Reorder the terms:
nI(-2 + x) + in(2x) = 0
(-2 * nI + x * nI) + in(2x) = 0
(-2nI + nxI) + in(2x) = 0

Remove parenthesis around (2x)
-2nI + nxI + in * 2x = 0

Reorder the terms for easier multiplication:
-2nI + nxI + 2in * x = 0

Multiply in * x
-2nI + nxI + 2inx = 0

Reorder the terms:
2inx + -2nI + nxI = 0

Solving
2inx + -2nI + nxI = 0

Solving for variable 'i'.

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

Add '2nI' to each side of the equation.
2inx + -2nI + 2nI + nxI = 0 + 2nI

Combine like terms: -2nI + 2nI = 0
2inx + 0 + nxI = 0 + 2nI
2inx + nxI = 0 + 2nI
Remove the zero:
2inx + nxI = 2nI

Add '-1nxI' to each side of the equation.
2inx + nxI + -1nxI = 2nI + -1nxI

Combine like terms: nxI + -1nxI = 0
2inx + 0 = 2nI + -1nxI
2inx = 2nI + -1nxI

Divide each side by '2nx'.
i = x-1I + -0.5I

Simplifying
i = x-1I + -0.5I

Reorder the terms:
i = -0.5I + x-1I

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