(8x^2y-5xy+10xy^2)-(7x^2y+9xy+3xy^2)=

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Solution for (8x^2y-5xy+10xy^2)-(7x^2y+9xy+3xy^2)= equation: 


Simplifying
(8x2y + -5xy + 10xy2) + -1(7x2y + 9xy + 3xy2) = 0

Reorder the terms:
(-5xy + 10xy2 + 8x2y) + -1(7x2y + 9xy + 3xy2) = 0

Remove parenthesis around (-5xy + 10xy2 + 8x2y)
-5xy + 10xy2 + 8x2y + -1(7x2y + 9xy + 3xy2) = 0

Reorder the terms:
-5xy + 10xy2 + 8x2y + -1(9xy + 3xy2 + 7x2y) = 0
-5xy + 10xy2 + 8x2y + (9xy * -1 + 3xy2 * -1 + 7x2y * -1) = 0
-5xy + 10xy2 + 8x2y + (-9xy + -3xy2 + -7x2y) = 0

Reorder the terms:
-5xy + -9xy + 10xy2 + -3xy2 + 8x2y + -7x2y = 0

Combine like terms: -5xy + -9xy = -14xy
-14xy + 10xy2 + -3xy2 + 8x2y + -7x2y = 0

Combine like terms: 10xy2 + -3xy2 = 7xy2
-14xy + 7xy2 + 8x2y + -7x2y = 0

Combine like terms: 8x2y + -7x2y = 1x2y
-14xy + 7xy2 + 1x2y = 0

Solving
-14xy + 7xy2 + 1x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-14 + 7y + x) = 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 '(-14 + 7y + x)' equal to zero and attempt to solve:

Simplifying
-14 + 7y + x = 0

Reorder the terms:
-14 + x + 7y = 0

Solving
-14 + x + 7y = 0

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

Add '14' to each side of the equation.
-14 + x + 14 + 7y = 0 + 14

Reorder the terms:
-14 + 14 + x + 7y = 0 + 14

Combine like terms: -14 + 14 = 0
0 + x + 7y = 0 + 14
x + 7y = 0 + 14

Combine like terms: 0 + 14 = 14
x + 7y = 14

Add '-7y' to each side of the equation.
x + 7y + -7y = 14 + -7y

Combine like terms: 7y + -7y = 0
x + 0 = 14 + -7y
x = 14 + -7y

Simplifying
x = 14 + -7y
Solution
x = {14 + -7y}

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