In(x+9)+IN(x+1)=In(4)

Solution for In(x+9)+IN(x+1)=In(4) equation:

Simplifying
In(x + 9) + IN(x + 1) = In(4)

Reorder the terms:
nI(9 + x) + IN(x + 1) = In(4)
(9 * nI + x * nI) + IN(x + 1) = In(4)
(9nI + nxI) + IN(x + 1) = In(4)

Reorder the terms:
9nI + nxI + IN(1 + x) = In(4)
9nI + nxI + (1 * IN + x * IN) = In(4)
9nI + nxI + (1IN + xIN) = In(4)

Reorder the terms:
1IN + 9nI + nxI + xIN = In(4)

Reorder the terms for easier multiplication:
1IN + 9nI + nxI + xIN = 4nI

Solving
1IN + 9nI + nxI + xIN = 4nI

Solving for variable 'I'.

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

Add '-4nI' to each side of the equation.
1IN + 9nI + nxI + -4nI + xIN = 4nI + -4nI

Reorder the terms:
1IN + 9nI + -4nI + nxI + xIN = 4nI + -4nI

Combine like terms: 9nI + -4nI = 5nI
1IN + 5nI + nxI + xIN = 4nI + -4nI

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

Factor out the Greatest Common Factor (GCF), 'I'.
I(N + 5n + nx + xN) = 0

Subproblem 1
Set the factor 'I' equal to zero and attempt to solve:

Simplifying
I = 0

Solving
I = 0

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

Simplifying
I = 0
Subproblem 2
Set the factor '(N + 5n + nx + xN)' equal to zero and attempt to solve:

Simplifying
N + 5n + nx + xN = 0

Solving
N + 5n + nx + xN = 0

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

Add '-1N' to each side of the equation.
N + 5n + nx + -1N + xN = 0 + -1N

Reorder the terms:
N + -1N + 5n + nx + xN = 0 + -1N

Combine like terms: N + -1N = 0
0 + 5n + nx + xN = 0 + -1N
5n + nx + xN = 0 + -1N
Remove the zero:
5n + nx + xN = -1N

Add '-5n' to each side of the equation.
5n + nx + -5n + xN = -1N + -5n

Reorder the terms:
5n + -5n + nx + xN = -1N + -5n

Combine like terms: 5n + -5n = 0
0 + nx + xN = -1N + -5n
nx + xN = -1N + -5n

Add '-1nx' to each side of the equation.
nx + -1nx + xN = -1N + -5n + -1nx

Combine like terms: nx + -1nx = 0
0 + xN = -1N + -5n + -1nx
xN = -1N + -5n + -1nx

Add '-1xN' to each side of the equation.
xN + -1xN = -1N + -5n + -1nx + -1xN

Combine like terms: xN + -1xN = 0
0 = -1N + -5n + -1nx + -1xN

Simplifying
0 = -1N + -5n + -1nx + -1xN

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
I = {0}