In*(3x-1)=3*In*2

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


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

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

Reorder the terms for easier multiplication:
-1nI + 3nxI = 3 * 2nI

Multiply 3 * 2
-1nI + 3nxI = 6nI

Solving
-1nI + 3nxI = 6nI

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.
-1nI + -6nI + 3nxI = 6nI + -6nI

Combine like terms: -1nI + -6nI = -7nI
-7nI + 3nxI = 6nI + -6nI

Combine like terms: 6nI + -6nI = 0
-7nI + 3nxI = 0

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(-7 + 3x) = 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 '(-7 + 3x)' equal to zero and attempt to solve:

Simplifying
-7 + 3x = 0

Solving
-7 + 3x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 0 + 7
3x = 0 + 7

Combine like terms: 0 + 7 = 7
3x = 7

Add '-3x' to each side of the equation.
3x + -3x = 7 + -3x

Combine like terms: 3x + -3x = 0
0 = 7 + -3x

Simplifying
0 = 7 + -3x

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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