In(x+3)+In(4)=2Inx

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Solution for In(x+3)+In(4)=2Inx equation: 


Simplifying
In(x + 3) + In(4) = 2Inx

Reorder the terms:
nI(3 + x) + In(4) = 2Inx
(3 * nI + x * nI) + In(4) = 2Inx
(3nI + nxI) + In(4) = 2Inx

Reorder the terms for easier multiplication:
3nI + nxI + 4nI = 2Inx

Reorder the terms:
3nI + 4nI + nxI = 2Inx

Combine like terms: 3nI + 4nI = 7nI
7nI + nxI = 2Inx

Solving
7nI + nxI = 2nxI

Solving for variable 'n'.

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

Add '-2nxI' to each side of the equation.
7nI + nxI + -2nxI = 2nxI + -2nxI

Combine like terms: nxI + -2nxI = -1nxI
7nI + -1nxI = 2nxI + -2nxI

Combine like terms: 2nxI + -2nxI = 0
7nI + -1nxI = 0

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(7 + -1x) = 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 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Add 'x' to each side of the equation.
-1x + x = -7 + x

Combine like terms: -1x + x = 0
0 = -7 + x

Simplifying
0 = -7 + x

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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