In(x)+In(7)=In(9)-In(3)

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Solution for In(x)+In(7)=In(9)-In(3) equation: 


Simplifying
In(x) + In(7) = In(9) + -1In(3)

Multiply nI * x
nxI + In(7) = In(9) + -1In(3)

Reorder the terms for easier multiplication:
nxI + 7nI = In(9) + -1In(3)

Reorder the terms:
7nI + nxI = In(9) + -1In(3)

Reorder the terms for easier multiplication:
7nI + nxI = 9nI + -1In(3)

Reorder the terms for easier multiplication:
7nI + nxI = 9nI + -1 * 3nI

Multiply -1 * 3
7nI + nxI = 9nI + -3nI

Combine like terms: 9nI + -3nI = 6nI
7nI + nxI = 6nI

Solving
7nI + nxI = 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.
7nI + -6nI + nxI = 6nI + -6nI

Combine like terms: 7nI + -6nI = 1nI
1nI + nxI = 6nI + -6nI

Combine like terms: 6nI + -6nI = 0
1nI + nxI = 0

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

Simplifying
1 + x = 0

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

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

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

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

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

Simplifying
0 = -1 + -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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