in(2x)+In(x+2)=In(30)

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Solution for in(2x)+In(x+2)=In(30) equation: 


Simplifying
in(2x) + In(x + 2) = In(30)

Remove parenthesis around (2x)
in * 2x + In(x + 2) = In(30)

Reorder the terms for easier multiplication:
2in * x + In(x + 2) = In(30)

Multiply in * x
2inx + In(x + 2) = In(30)

Reorder the terms:
2inx + nI(2 + x) = In(30)
2inx + (2 * nI + x * nI) = In(30)
2inx + (2nI + nxI) = In(30)

Reorder the terms for easier multiplication:
2inx + 2nI + nxI = 30nI

Solving
2inx + 2nI + nxI = 30nI

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 = 30nI + -2nI

Combine like terms: 2nI + -2nI = 0
2inx + 0 + nxI = 30nI + -2nI
2inx + nxI = 30nI + -2nI

Combine like terms: 30nI + -2nI = 28nI
2inx + nxI = 28nI

Add '-1nxI' to each side of the equation.
2inx + nxI + -1nxI = 28nI + -1nxI

Combine like terms: nxI + -1nxI = 0
2inx + 0 = 28nI + -1nxI
2inx = 28nI + -1nxI

Divide each side by '2nx'.
i = 14x-1I + -0.5I

Simplifying
i = 14x-1I + -0.5I

Reorder the terms:
i = -0.5I + 14x-1I

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