x^2y^6-3x^3y^4+4x^5y^3=x^2y^3*3xy+x^2y^3

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Solution for x^2y^6-3x^3y^4+4x^5y^3=x^2y^3*3xy+x^2y^3 equation: 


Simplifying
x2y6 + -3x3y4 + 4x5y3 = x2y3 * 3xy + x2y3

Reorder the terms for easier multiplication:
x2y6 + -3x3y4 + 4x5y3 = 3x2y3 * xy + x2y3

Multiply x2y3 * xy
x2y6 + -3x3y4 + 4x5y3 = 3x3y4 + x2y3

Reorder the terms:
x2y6 + -3x3y4 + 4x5y3 = x2y3 + 3x3y4

Solving
x2y6 + -3x3y4 + 4x5y3 = x2y3 + 3x3y4

Solving for variable 'x'.

Reorder the terms:
-1x2y3 + x2y6 + -3x3y4 + -3x3y4 + 4x5y3 = x2y3 + 3x3y4 + -1x2y3 + -3x3y4

Combine like terms: -3x3y4 + -3x3y4 = -6x3y4
-1x2y3 + x2y6 + -6x3y4 + 4x5y3 = x2y3 + 3x3y4 + -1x2y3 + -3x3y4

Reorder the terms:
-1x2y3 + x2y6 + -6x3y4 + 4x5y3 = x2y3 + -1x2y3 + 3x3y4 + -3x3y4

Combine like terms: x2y3 + -1x2y3 = 0
-1x2y3 + x2y6 + -6x3y4 + 4x5y3 = 0 + 3x3y4 + -3x3y4
-1x2y3 + x2y6 + -6x3y4 + 4x5y3 = 3x3y4 + -3x3y4

Combine like terms: 3x3y4 + -3x3y4 = 0
-1x2y3 + x2y6 + -6x3y4 + 4x5y3 = 0

Factor out the Greatest Common Factor (GCF), 'x2y3'.
x2y3(-1 + y3 + -6xy + 4x3) = 0


Subproblem 1
Set the factor 'x2y3' equal to zero and attempt to solve:

Simplifying
x2y3 = 0

Solving
x2y3 = 0

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

Simplifying
x2y3 = 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 + y3 + -6xy + 4x3)' equal to zero and attempt to solve:

Simplifying
-1 + y3 + -6xy + 4x3 = 0

Reorder the terms:
-1 + -6xy + 4x3 + y3 = 0

Solving
-1 + -6xy + 4x3 + y3 = 0

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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