In(x+3)=In(2)+In(15)

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Solution for In(x+3)=In(2)+In(15) equation: 


Simplifying
In(x + 3) = In(2) + In(15)

Reorder the terms:
nI(3 + x) = In(2) + In(15)
(3 * nI + x * nI) = In(2) + In(15)
(3nI + nxI) = In(2) + In(15)

Reorder the terms for easier multiplication:
3nI + nxI = 2nI + In(15)

Reorder the terms for easier multiplication:
3nI + nxI = 2nI + 15nI

Combine like terms: 2nI + 15nI = 17nI
3nI + nxI = 17nI

Solving
3nI + nxI = 17nI

Solving for variable 'n'.

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

Add '-17nI' to each side of the equation.
3nI + -17nI + nxI = 17nI + -17nI

Combine like terms: 3nI + -17nI = -14nI
-14nI + nxI = 17nI + -17nI

Combine like terms: 17nI + -17nI = 0
-14nI + nxI = 0

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(-14 + x) = 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 '(-14 + x)' equal to zero and attempt to solve:

Simplifying
-14 + x = 0

Solving
-14 + x = 0

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

Add '14' to each side of the equation.
-14 + 14 + x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + x = 0 + 14
x = 0 + 14

Combine like terms: 0 + 14 = 14
x = 14

Add '-1x' to each side of the equation.
x + -1x = 14 + -1x

Combine like terms: x + -1x = 0
0 = 14 + -1x

Simplifying
0 = 14 + -1x

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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