(2x^2y+2xy)-(5x^2y-10xy^2+5xy)=

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Solution for (2x^2y+2xy)-(5x^2y-10xy^2+5xy)= equation: 


Simplifying
(2x2y + 2xy) + -1(5x2y + -10xy2 + 5xy) = 0

Reorder the terms:
(2xy + 2x2y) + -1(5x2y + -10xy2 + 5xy) = 0

Remove parenthesis around (2xy + 2x2y)
2xy + 2x2y + -1(5x2y + -10xy2 + 5xy) = 0

Reorder the terms:
2xy + 2x2y + -1(5xy + -10xy2 + 5x2y) = 0
2xy + 2x2y + (5xy * -1 + -10xy2 * -1 + 5x2y * -1) = 0
2xy + 2x2y + (-5xy + 10xy2 + -5x2y) = 0

Reorder the terms:
2xy + -5xy + 10xy2 + 2x2y + -5x2y = 0

Combine like terms: 2xy + -5xy = -3xy
-3xy + 10xy2 + 2x2y + -5x2y = 0

Combine like terms: 2x2y + -5x2y = -3x2y
-3xy + 10xy2 + -3x2y = 0

Solving
-3xy + 10xy2 + -3x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-3 + 10y + -3x) = 0


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 '(-3 + 10y + -3x)' equal to zero and attempt to solve:

Simplifying
-3 + 10y + -3x = 0

Reorder the terms:
-3 + -3x + 10y = 0

Solving
-3 + -3x + 10y = 0

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

Add '3' to each side of the equation.
-3 + -3x + 3 + 10y = 0 + 3

Reorder the terms:
-3 + 3 + -3x + 10y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -3x + 10y = 0 + 3
-3x + 10y = 0 + 3

Combine like terms: 0 + 3 = 3
-3x + 10y = 3

Add '-10y' to each side of the equation.
-3x + 10y + -10y = 3 + -10y

Combine like terms: 10y + -10y = 0
-3x + 0 = 3 + -10y
-3x = 3 + -10y

Divide each side by '-3'.
x = -1 + 3.333333333y

Simplifying
x = -1 + 3.333333333y
Solution
x = {-1 + 3.333333333y}

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