(7x^2y-3xy+7xy^2)-(2x^2+10xy+5xy^2)=

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Solution for (7x^2y-3xy+7xy^2)-(2x^2+10xy+5xy^2)= equation: 


Simplifying
(7x2y + -3xy + 7xy2) + -1(2x2 + 10xy + 5xy2) = 0

Reorder the terms:
(-3xy + 7xy2 + 7x2y) + -1(2x2 + 10xy + 5xy2) = 0

Remove parenthesis around (-3xy + 7xy2 + 7x2y)
-3xy + 7xy2 + 7x2y + -1(2x2 + 10xy + 5xy2) = 0

Reorder the terms:
-3xy + 7xy2 + 7x2y + -1(10xy + 5xy2 + 2x2) = 0
-3xy + 7xy2 + 7x2y + (10xy * -1 + 5xy2 * -1 + 2x2 * -1) = 0
-3xy + 7xy2 + 7x2y + (-10xy + -5xy2 + -2x2) = 0

Reorder the terms:
-3xy + -10xy + 7xy2 + -5xy2 + -2x2 + 7x2y = 0

Combine like terms: -3xy + -10xy = -13xy
-13xy + 7xy2 + -5xy2 + -2x2 + 7x2y = 0

Combine like terms: 7xy2 + -5xy2 = 2xy2
-13xy + 2xy2 + -2x2 + 7x2y = 0

Solving
-13xy + 2xy2 + -2x2 + 7x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-13y + 2y2 + -2x + 7xy) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-13y + 2y2 + -2x + 7xy)' equal to zero and attempt to solve:

Simplifying
-13y + 2y2 + -2x + 7xy = 0

Reorder the terms:
-2x + 7xy + -13y + 2y2 = 0

Solving
-2x + 7xy + -13y + 2y2 = 0

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

Add '13y' to each side of the equation.
-2x + 7xy + -13y + 13y + 2y2 = 0 + 13y

Combine like terms: -13y + 13y = 0
-2x + 7xy + 0 + 2y2 = 0 + 13y
-2x + 7xy + 2y2 = 0 + 13y
Remove the zero:
-2x + 7xy + 2y2 = 13y

Add '-2y2' to each side of the equation.
-2x + 7xy + 2y2 + -2y2 = 13y + -2y2

Combine like terms: 2y2 + -2y2 = 0
-2x + 7xy + 0 = 13y + -2y2
-2x + 7xy = 13y + -2y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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