(-x^2y+8xy-xy^2)-(5xy^2+x^2y+7xy)=

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Solution for (-x^2y+8xy-xy^2)-(5xy^2+x^2y+7xy)= equation: 


Simplifying
(-1x2y + 8xy + -1xy2) + -1(5xy2 + x2y + 7xy) = 0

Reorder the terms:
(8xy + -1xy2 + -1x2y) + -1(5xy2 + x2y + 7xy) = 0

Remove parenthesis around (8xy + -1xy2 + -1x2y)
8xy + -1xy2 + -1x2y + -1(5xy2 + x2y + 7xy) = 0

Reorder the terms:
8xy + -1xy2 + -1x2y + -1(7xy + 5xy2 + x2y) = 0
8xy + -1xy2 + -1x2y + (7xy * -1 + 5xy2 * -1 + x2y * -1) = 0
8xy + -1xy2 + -1x2y + (-7xy + -5xy2 + -1x2y) = 0

Reorder the terms:
8xy + -7xy + -1xy2 + -5xy2 + -1x2y + -1x2y = 0

Combine like terms: 8xy + -7xy = 1xy
1xy + -1xy2 + -5xy2 + -1x2y + -1x2y = 0

Combine like terms: -1xy2 + -5xy2 = -6xy2
1xy + -6xy2 + -1x2y + -1x2y = 0

Combine like terms: -1x2y + -1x2y = -2x2y
1xy + -6xy2 + -2x2y = 0

Solving
1xy + -6xy2 + -2x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(1 + -6y + -2x) = 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 '(1 + -6y + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -6y + -2x = 0

Reorder the terms:
1 + -2x + -6y = 0

Solving
1 + -2x + -6y = 0

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

Add '-1' to each side of the equation.
1 + -2x + -1 + -6y = 0 + -1

Reorder the terms:
1 + -1 + -2x + -6y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x + -6y = 0 + -1
-2x + -6y = 0 + -1

Combine like terms: 0 + -1 = -1
-2x + -6y = -1

Add '6y' to each side of the equation.
-2x + -6y + 6y = -1 + 6y

Combine like terms: -6y + 6y = 0
-2x + 0 = -1 + 6y
-2x = -1 + 6y

Divide each side by '-2'.
x = 0.5 + -3y

Simplifying
x = 0.5 + -3y
Solution
x = {0.5 + -3y}

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