in(2)-In(3x+2)=1

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Solution for in(2)-In(3x+2)=1 equation:


Simplifying
in(2) + -1In(3x + 2) = 1

Reorder the terms for easier multiplication:
2in + -1In(3x + 2) = 1

Reorder the terms:
2in + -1nI(2 + 3x) = 1
2in + (2 * -1nI + 3x * -1nI) = 1
2in + (-2nI + -3nxI) = 1

Solving
2in + -2nI + -3nxI = 1

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.
2in + -2nI + 2nI + -3nxI = 1 + 2nI

Combine like terms: -2nI + 2nI = 0
2in + 0 + -3nxI = 1 + 2nI
2in + -3nxI = 1 + 2nI

Add '3nxI' to each side of the equation.
2in + -3nxI + 3nxI = 1 + 2nI + 3nxI

Combine like terms: -3nxI + 3nxI = 0
2in + 0 = 1 + 2nI + 3nxI
2in = 1 + 2nI + 3nxI

Divide each side by '2n'.
i = 0.5n-1 + I + 1.5xI

Simplifying
i = 0.5n-1 + I + 1.5xI

Reorder the terms:
i = I + 0.5n-1 + 1.5xI

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