In(2v+3)=In(-3v+6)

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Solution for In(2v+3)=In(-3v+6) equation: 


Simplifying
In(2v + 3) = In(-3v + 6)

Reorder the terms:
nI(3 + 2v) = In(-3v + 6)
(3 * nI + 2v * nI) = In(-3v + 6)
(3nI + 2nvI) = In(-3v + 6)

Reorder the terms:
3nI + 2nvI = nI(6 + -3v)
3nI + 2nvI = (6 * nI + -3v * nI)
3nI + 2nvI = (6nI + -3nvI)

Solving
3nI + 2nvI = 6nI + -3nvI

Solving for variable 'n'.

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

Add '-6nI' to each side of the equation.
3nI + -6nI + 2nvI = 6nI + -6nI + -3nvI

Combine like terms: 3nI + -6nI = -3nI
-3nI + 2nvI = 6nI + -6nI + -3nvI

Combine like terms: 6nI + -6nI = 0
-3nI + 2nvI = 0 + -3nvI
-3nI + 2nvI = -3nvI

Add '3nvI' to each side of the equation.
-3nI + 2nvI + 3nvI = -3nvI + 3nvI

Combine like terms: 2nvI + 3nvI = 5nvI
-3nI + 5nvI = -3nvI + 3nvI

Combine like terms: -3nvI + 3nvI = 0
-3nI + 5nvI = 0

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(-3 + 5v) = 0


Subproblem 1
Set the factor 'nI' equal to zero and attempt to solve:

Simplifying
nI = 0

Solving
nI = 0

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

Simplifying
nI = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-3 + 5v)' equal to zero and attempt to solve:

Simplifying
-3 + 5v = 0

Solving
-3 + 5v = 0

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

Add '3' to each side of the equation.
-3 + 3 + 5v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5v = 0 + 3
5v = 0 + 3

Combine like terms: 0 + 3 = 3
5v = 3

Add '-5v' to each side of the equation.
5v + -5v = 3 + -5v

Combine like terms: 5v + -5v = 0
0 = 3 + -5v

Simplifying
0 = 3 + -5v

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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