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

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


Simplifying
(3x2y + 5xy + y2) + -1(4x2y + xy + -3y2) = 0

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

Remove parenthesis around (5xy + 3x2y + y2)
5xy + 3x2y + y2 + -1(4x2y + xy + -3y2) = 0

Reorder the terms:
5xy + 3x2y + y2 + -1(xy + 4x2y + -3y2) = 0
5xy + 3x2y + y2 + (xy * -1 + 4x2y * -1 + -3y2 * -1) = 0
5xy + 3x2y + y2 + (-1xy + -4x2y + 3y2) = 0

Reorder the terms:
5xy + -1xy + 3x2y + -4x2y + y2 + 3y2 = 0

Combine like terms: 5xy + -1xy = 4xy
4xy + 3x2y + -4x2y + y2 + 3y2 = 0

Combine like terms: 3x2y + -4x2y = -1x2y
4xy + -1x2y + y2 + 3y2 = 0

Combine like terms: y2 + 3y2 = 4y2
4xy + -1x2y + 4y2 = 0

Solving
4xy + -1x2y + 4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(4x + -1x2 + 4y) = 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 '(4x + -1x2 + 4y)' equal to zero and attempt to solve:

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

Solving
4x + -1x2 + 4y = 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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