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

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


Simplifying
(5xy2 + 2x3y) + -1(2xy2 + -1x3y) = 0

Remove parenthesis around (5xy2 + 2x3y)
5xy2 + 2x3y + -1(2xy2 + -1x3y) = 0
5xy2 + 2x3y + (2xy2 * -1 + -1x3y * -1) = 0
5xy2 + 2x3y + (-2xy2 + 1x3y) = 0

Reorder the terms:
5xy2 + -2xy2 + 2x3y + 1x3y = 0

Combine like terms: 5xy2 + -2xy2 = 3xy2
3xy2 + 2x3y + 1x3y = 0

Combine like terms: 2x3y + 1x3y = 3x3y
3xy2 + 3x3y = 0

Solving
3xy2 + 3x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy'.
3xy(y + x2) = 0

Ignore the factor 3.

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

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 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 '(y + x2)' equal to zero and attempt to solve:

Simplifying
y + x2 = 0

Reorder the terms:
x2 + y = 0

Solving
x2 + y = 0

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

Add '-1y' to each side of the equation.
x2 + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
x2 + 0 = 0 + -1y
x2 = 0 + -1y
Remove the zero:
x2 = -1y

Simplifying
x2 = -1y

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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