14xy^2-6x^2y-10xy+8x^2y+xy=

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Solution for 14xy^2-6x^2y-10xy+8x^2y+xy= equation: 


Simplifying
14xy2 + -6x2y + -10xy + 8x2y + xy = 0

Reorder the terms:
-10xy + xy + 14xy2 + -6x2y + 8x2y = 0

Combine like terms: -10xy + xy = -9xy
-9xy + 14xy2 + -6x2y + 8x2y = 0

Combine like terms: -6x2y + 8x2y = 2x2y
-9xy + 14xy2 + 2x2y = 0

Solving
-9xy + 14xy2 + 2x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-9 + 14y + 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 '(-9 + 14y + 2x)' equal to zero and attempt to solve:

Simplifying
-9 + 14y + 2x = 0

Reorder the terms:
-9 + 2x + 14y = 0

Solving
-9 + 2x + 14y = 0

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

Add '9' to each side of the equation.
-9 + 2x + 9 + 14y = 0 + 9

Reorder the terms:
-9 + 9 + 2x + 14y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2x + 14y = 0 + 9
2x + 14y = 0 + 9

Combine like terms: 0 + 9 = 9
2x + 14y = 9

Add '-14y' to each side of the equation.
2x + 14y + -14y = 9 + -14y

Combine like terms: 14y + -14y = 0
2x + 0 = 9 + -14y
2x = 9 + -14y

Divide each side by '2'.
x = 4.5 + -7y

Simplifying
x = 4.5 + -7y
Solution
x = {4.5 + -7y}

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