In*(x-6)+In*(x-4)=In*15

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Solution for In*(x-6)+In*(x-4)=In*15 equation: 


Simplifying
In(x + -6) + In(x + -4) = In * 15

Reorder the terms:
nI(-6 + x) + In(x + -4) = In * 15
(-6 * nI + x * nI) + In(x + -4) = In * 15
(-6nI + nxI) + In(x + -4) = In * 15

Reorder the terms:
-6nI + nxI + nI(-4 + x) = In * 15
-6nI + nxI + (-4 * nI + x * nI) = In * 15
-6nI + nxI + (-4nI + nxI) = In * 15

Reorder the terms:
-6nI + -4nI + nxI + nxI = In * 15

Combine like terms: -6nI + -4nI = -10nI
-10nI + nxI + nxI = In * 15

Combine like terms: nxI + nxI = 2nxI
-10nI + 2nxI = In * 15

Reorder the terms for easier multiplication:
-10nI + 2nxI = 15nI

Solving
-10nI + 2nxI = 15nI

Solving for variable 'n'.

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

Add '-15nI' to each side of the equation.
-10nI + -15nI + 2nxI = 15nI + -15nI

Combine like terms: -10nI + -15nI = -25nI
-25nI + 2nxI = 15nI + -15nI

Combine like terms: 15nI + -15nI = 0
-25nI + 2nxI = 0

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(-25 + 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 '(-25 + 2x)' equal to zero and attempt to solve:

Simplifying
-25 + 2x = 0

Solving
-25 + 2x = 0

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

Add '25' to each side of the equation.
-25 + 25 + 2x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 2x = 0 + 25
2x = 0 + 25

Combine like terms: 0 + 25 = 25
2x = 25

Add '-2x' to each side of the equation.
2x + -2x = 25 + -2x

Combine like terms: 2x + -2x = 0
0 = 25 + -2x

Simplifying
0 = 25 + -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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