In(x)+In(x+1)=In(6)

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Solution for In(x)+In(x+1)=In(6) equation: 


Simplifying
In(x) + In(x + 1) = In(6)

Multiply nI * x
nxI + In(x + 1) = In(6)

Reorder the terms:
nxI + nI(1 + x) = In(6)
nxI + (1 * nI + x * nI) = In(6)
nxI + (1nI + nxI) = In(6)

Reorder the terms:
1nI + nxI + nxI = In(6)

Combine like terms: nxI + nxI = 2nxI
1nI + 2nxI = In(6)

Reorder the terms for easier multiplication:
1nI + 2nxI = 6nI

Solving
1nI + 2nxI = 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 + 2nxI = 6nI + -6nI

Combine like terms: 1nI + -6nI = -5nI
-5nI + 2nxI = 6nI + -6nI

Combine like terms: 6nI + -6nI = 0
-5nI + 2nxI = 0

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(-5 + 2x) = 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 '(-5 + 2x)' equal to zero and attempt to solve:

Simplifying
-5 + 2x = 0

Solving
-5 + 2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 0 + 5
2x = 0 + 5

Combine like terms: 0 + 5 = 5
2x = 5

Add '-2x' to each side of the equation.
2x + -2x = 5 + -2x

Combine like terms: 2x + -2x = 0
0 = 5 + -2x

Simplifying
0 = 5 + -2x

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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