In(3x+5)+in(2x-5)=12

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Solution for In(3x+5)+in(2x-5)=12 equation: 


Simplifying
In(3x + 5) + in(2x + -5) = 12

Reorder the terms:
nI(5 + 3x) + in(2x + -5) = 12
(5 * nI + 3x * nI) + in(2x + -5) = 12
(5nI + 3nxI) + in(2x + -5) = 12

Reorder the terms:
5nI + 3nxI + in(-5 + 2x) = 12
5nI + 3nxI + (-5 * in + 2x * in) = 12
5nI + 3nxI + (-5in + 2inx) = 12

Reorder the terms:
-5in + 2inx + 5nI + 3nxI = 12

Solving
-5in + 2inx + 5nI + 3nxI = 12

Solving for variable 'i'.

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

Add '-5nI' to each side of the equation.
-5in + 2inx + 5nI + -5nI + 3nxI = 12 + -5nI

Combine like terms: 5nI + -5nI = 0
-5in + 2inx + 0 + 3nxI = 12 + -5nI
-5in + 2inx + 3nxI = 12 + -5nI

Add '-3nxI' to each side of the equation.
-5in + 2inx + 3nxI + -3nxI = 12 + -5nI + -3nxI

Combine like terms: 3nxI + -3nxI = 0
-5in + 2inx + 0 = 12 + -5nI + -3nxI
-5in + 2inx = 12 + -5nI + -3nxI

Reorder the terms:
-12 + -5in + 2inx + 5nI + 3nxI = 12 + -5nI + -3nxI + -12 + 5nI + 3nxI

Reorder the terms:
-12 + -5in + 2inx + 5nI + 3nxI = 12 + -12 + -5nI + 5nI + -3nxI + 3nxI

Combine like terms: 12 + -12 = 0
-12 + -5in + 2inx + 5nI + 3nxI = 0 + -5nI + 5nI + -3nxI + 3nxI
-12 + -5in + 2inx + 5nI + 3nxI = -5nI + 5nI + -3nxI + 3nxI

Combine like terms: -5nI + 5nI = 0
-12 + -5in + 2inx + 5nI + 3nxI = 0 + -3nxI + 3nxI
-12 + -5in + 2inx + 5nI + 3nxI = -3nxI + 3nxI

Combine like terms: -3nxI + 3nxI = 0
-12 + -5in + 2inx + 5nI + 3nxI = 0

The solution to this equation could not be determined.

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