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

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


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

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

Remove parenthesis around (5xy2 + x2y + -3y2)
5xy2 + x2y + -3y2 + -1(-1x2y + y2 + -3y2) = 0

Combine like terms: y2 + -3y2 = -2y2
5xy2 + x2y + -3y2 + -1(-1x2y + -2y2) = 0
5xy2 + x2y + -3y2 + (-1x2y * -1 + -2y2 * -1) = 0
5xy2 + x2y + -3y2 + (1x2y + 2y2) = 0

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

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

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

Solving
5xy2 + 2x2y + -1y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(5xy + 2x2 + -1y) = 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 + 2x2 + -1y)' equal to zero and attempt to solve:

Simplifying
5xy + 2x2 + -1y = 0

Solving
5xy + 2x2 + -1y = 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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