4x^2y-5xy^2-(6x^2+8xy^2)=x

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Solution for 4x^2y-5xy^2-(6x^2+8xy^2)=x equation: 


Simplifying
4x2y + -5xy2 + -1(6x2 + 8xy2) = x

Reorder the terms:
4x2y + -5xy2 + -1(8xy2 + 6x2) = x
4x2y + -5xy2 + (8xy2 * -1 + 6x2 * -1) = x
4x2y + -5xy2 + (-8xy2 + -6x2) = x

Reorder the terms:
-5xy2 + -8xy2 + -6x2 + 4x2y = x

Combine like terms: -5xy2 + -8xy2 = -13xy2
-13xy2 + -6x2 + 4x2y = x

Solving
-13xy2 + -6x2 + 4x2y = x

Solving for variable 'x'.

Reorder the terms:
-1x + -13xy2 + -6x2 + 4x2y = x + -1x

Combine like terms: x + -1x = 0
-1x + -13xy2 + -6x2 + 4x2y = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + -13y2 + -6x + 4xy) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-1 + -13y2 + -6x + 4xy)' equal to zero and attempt to solve:

Simplifying
-1 + -13y2 + -6x + 4xy = 0

Reorder the terms:
-1 + -6x + 4xy + -13y2 = 0

Solving
-1 + -6x + 4xy + -13y2 = 0

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

Add '1' to each side of the equation.
-1 + -6x + 4xy + 1 + -13y2 = 0 + 1

Reorder the terms:
-1 + 1 + -6x + 4xy + -13y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6x + 4xy + -13y2 = 0 + 1
-6x + 4xy + -13y2 = 0 + 1

Combine like terms: 0 + 1 = 1
-6x + 4xy + -13y2 = 1

Add '13y2' to each side of the equation.
-6x + 4xy + -13y2 + 13y2 = 1 + 13y2

Combine like terms: -13y2 + 13y2 = 0
-6x + 4xy + 0 = 1 + 13y2
-6x + 4xy = 1 + 13y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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