In(x^3-3x^2)-In(x)=In(3x^2-5x)

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Solution for In(x^3-3x^2)-In(x)=In(3x^2-5x) equation: 


Simplifying
In(x3 + -3x2) + -1In(x) = In(3x2 + -5x)

Reorder the terms:
nI(-3x2 + x3) + -1In(x) = In(3x2 + -5x)
(-3x2 * nI + x3 * nI) + -1In(x) = In(3x2 + -5x)
(-3nx2I + nx3I) + -1In(x) = In(3x2 + -5x)

Multiply nI * x
-3nx2I + nx3I + -1nxI = In(3x2 + -5x)

Reorder the terms:
-1nxI + -3nx2I + nx3I = In(3x2 + -5x)

Reorder the terms:
-1nxI + -3nx2I + nx3I = nI(-5x + 3x2)
-1nxI + -3nx2I + nx3I = (-5x * nI + 3x2 * nI)
-1nxI + -3nx2I + nx3I = (-5nxI + 3nx2I)

Solving
-1nxI + -3nx2I + nx3I = -5nxI + 3nx2I

Solving for variable 'n'.

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

Add '5nxI' to each side of the equation.
-1nxI + -3nx2I + 5nxI + nx3I = -5nxI + 5nxI + 3nx2I

Reorder the terms:
-1nxI + 5nxI + -3nx2I + nx3I = -5nxI + 5nxI + 3nx2I

Combine like terms: -1nxI + 5nxI = 4nxI
4nxI + -3nx2I + nx3I = -5nxI + 5nxI + 3nx2I

Combine like terms: -5nxI + 5nxI = 0
4nxI + -3nx2I + nx3I = 0 + 3nx2I
4nxI + -3nx2I + nx3I = 3nx2I

Add '-3nx2I' to each side of the equation.
4nxI + -3nx2I + -3nx2I + nx3I = 3nx2I + -3nx2I

Combine like terms: -3nx2I + -3nx2I = -6nx2I
4nxI + -6nx2I + nx3I = 3nx2I + -3nx2I

Combine like terms: 3nx2I + -3nx2I = 0
4nxI + -6nx2I + nx3I = 0

Factor out the Greatest Common Factor (GCF), 'nxI'.
nxI(4 + -6x + x2) = 0


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

Simplifying
nxI = 0

Solving
nxI = 0

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

Simplifying
nxI = 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 '(4 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
4 + -6x + x2 = 0

Solving
4 + -6x + x2 = 0

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

Add '-4' to each side of the equation.
4 + -6x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -6x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -6x + x2 = 0 + -4
-6x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-6x + x2 = -4

Add '6x' to each side of the equation.
-6x + 6x + x2 = -4 + 6x

Combine like terms: -6x + 6x = 0
0 + x2 = -4 + 6x
x2 = -4 + 6x

Add '-1x2' to each side of the equation.
x2 + -1x2 = -4 + 6x + -1x2

Combine like terms: x2 + -1x2 = 0
0 = -4 + 6x + -1x2

Simplifying
0 = -4 + 6x + -1x2

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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