4x^2y+5xy^2-8xy^2+5xy=

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Solution for 4x^2y+5xy^2-8xy^2+5xy= equation: 


Simplifying
4x2y + 5xy2 + -8xy2 + 5xy = 0

Reorder the terms:
5xy + 5xy2 + -8xy2 + 4x2y = 0

Combine like terms: 5xy2 + -8xy2 = -3xy2
5xy + -3xy2 + 4x2y = 0

Solving
5xy + -3xy2 + 4x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(5 + -3y + 4x) = 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 '(5 + -3y + 4x)' equal to zero and attempt to solve:

Simplifying
5 + -3y + 4x = 0

Reorder the terms:
5 + 4x + -3y = 0

Solving
5 + 4x + -3y = 0

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

Add '-5' to each side of the equation.
5 + 4x + -5 + -3y = 0 + -5

Reorder the terms:
5 + -5 + 4x + -3y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4x + -3y = 0 + -5
4x + -3y = 0 + -5

Combine like terms: 0 + -5 = -5
4x + -3y = -5

Add '3y' to each side of the equation.
4x + -3y + 3y = -5 + 3y

Combine like terms: -3y + 3y = 0
4x + 0 = -5 + 3y
4x = -5 + 3y

Divide each side by '4'.
x = -1.25 + 0.75y

Simplifying
x = -1.25 + 0.75y
Solution
x = {-1.25 + 0.75y}

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