In(2x+5)+In(x-4)-In(2)=0

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Solution for In(2x+5)+In(x-4)-In(2)=0 equation: 


Simplifying
In(2x + 5) + In(x + -4) + -1In(2) = 0

Reorder the terms:
nI(5 + 2x) + In(x + -4) + -1In(2) = 0
(5 * nI + 2x * nI) + In(x + -4) + -1In(2) = 0
(5nI + 2nxI) + In(x + -4) + -1In(2) = 0

Reorder the terms:
5nI + 2nxI + nI(-4 + x) + -1In(2) = 0
5nI + 2nxI + (-4 * nI + x * nI) + -1In(2) = 0
5nI + 2nxI + (-4nI + nxI) + -1In(2) = 0

Reorder the terms for easier multiplication:
5nI + 2nxI + -4nI + nxI + -1 * 2nI = 0

Multiply -1 * 2
5nI + 2nxI + -4nI + nxI + -2nI = 0

Reorder the terms:
5nI + -4nI + -2nI + 2nxI + nxI = 0

Combine like terms: 5nI + -4nI = 1nI
1nI + -2nI + 2nxI + nxI = 0

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

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

Solving
-1nI + 3nxI = 0

Solving for variable 'n'.

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

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(-1 + 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 '(-1 + 3x)' equal to zero and attempt to solve:

Simplifying
-1 + 3x = 0

Solving
-1 + 3x = 0

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

Add '1' to each side of the equation.
-1 + 1 + 3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 0 + 1
3x = 0 + 1

Combine like terms: 0 + 1 = 1
3x = 1

Add '-3x' to each side of the equation.
3x + -3x = 1 + -3x

Combine like terms: 3x + -3x = 0
0 = 1 + -3x

Simplifying
0 = 1 + -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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