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

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


Simplifying
(6x2y + 2xy2 + -1y2) + -1(-3xy2 + -5x2y + 4y2) = 0

Reorder the terms:
(2xy2 + 6x2y + -1y2) + -1(-3xy2 + -5x2y + 4y2) = 0

Remove parenthesis around (2xy2 + 6x2y + -1y2)
2xy2 + 6x2y + -1y2 + -1(-3xy2 + -5x2y + 4y2) = 0
2xy2 + 6x2y + -1y2 + (-3xy2 * -1 + -5x2y * -1 + 4y2 * -1) = 0
2xy2 + 6x2y + -1y2 + (3xy2 + 5x2y + -4y2) = 0

Reorder the terms:
2xy2 + 3xy2 + 6x2y + 5x2y + -1y2 + -4y2 = 0

Combine like terms: 2xy2 + 3xy2 = 5xy2
5xy2 + 6x2y + 5x2y + -1y2 + -4y2 = 0

Combine like terms: 6x2y + 5x2y = 11x2y
5xy2 + 11x2y + -1y2 + -4y2 = 0

Combine like terms: -1y2 + -4y2 = -5y2
5xy2 + 11x2y + -5y2 = 0

Solving
5xy2 + 11x2y + -5y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(5xy + 11x2 + -5y) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

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 '(5xy + 11x2 + -5y)' equal to zero and attempt to solve:

Simplifying
5xy + 11x2 + -5y = 0

Solving
5xy + 11x2 + -5y = 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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