In(x^4)-In(x^2y)+In(y^2)=0

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Solution for In(x^4)-In(x^2y)+In(y^2)=0 equation: 


Simplifying
In(x4) + -1In(x2y) + In(y2) = 0

Multiply nI * x4
nx4I + -1In(x2y) + In(y2) = 0

Multiply nI * x2y
nx4I + -1nx2yI + In(y2) = 0

Multiply nI * y2
nx4I + -1nx2yI + ny2I = 0

Reorder the terms:
-1nx2yI + nx4I + ny2I = 0

Solving
-1nx2yI + nx4I + ny2I = 0

Solving for variable 'n'.

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

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(-1x2y + x4 + y2) = 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 '(-1x2y + x4 + y2)' equal to zero and attempt to solve:

Simplifying
-1x2y + x4 + y2 = 0

Solving
-1x2y + x4 + y2 = 0

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

Add 'x2y' to each side of the equation.
-1x2y + x4 + x2y + y2 = 0 + x2y

Reorder the terms:
-1x2y + x2y + x4 + y2 = 0 + x2y

Combine like terms: -1x2y + x2y = 0
0 + x4 + y2 = 0 + x2y
x4 + y2 = 0 + x2y
Remove the zero:
x4 + y2 = x2y

Add '-1x4' to each side of the equation.
x4 + -1x4 + y2 = x2y + -1x4

Combine like terms: x4 + -1x4 = 0
0 + y2 = x2y + -1x4
y2 = x2y + -1x4

Add '-1y2' to each side of the equation.
y2 + -1y2 = x2y + -1x4 + -1y2

Combine like terms: y2 + -1y2 = 0
0 = x2y + -1x4 + -1y2

Simplifying
0 = x2y + -1x4 + -1y2

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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