0=3x^2y-5xy^2+6x^2y

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Solution for 0=3x^2y-5xy^2+6x^2y equation: 


Simplifying
0 = 3x2y + -5xy2 + 6x2y

Reorder the terms:
0 = -5xy2 + 3x2y + 6x2y

Combine like terms: 3x2y + 6x2y = 9x2y
0 = -5xy2 + 9x2y

Solving
0 = -5xy2 + 9x2y

Solving for variable 'x'.
Remove the zero:
5xy2 + -9x2y = -5xy2 + 9x2y + 5xy2 + -9x2y

Reorder the terms:
5xy2 + -9x2y = -5xy2 + 5xy2 + 9x2y + -9x2y

Combine like terms: -5xy2 + 5xy2 = 0
5xy2 + -9x2y = 0 + 9x2y + -9x2y
5xy2 + -9x2y = 9x2y + -9x2y

Combine like terms: 9x2y + -9x2y = 0
5xy2 + -9x2y = 0

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(5y + -9x) = 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 '(5y + -9x)' equal to zero and attempt to solve:

Simplifying
5y + -9x = 0

Reorder the terms:
-9x + 5y = 0

Solving
-9x + 5y = 0

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

Add '-5y' to each side of the equation.
-9x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
-9x + 0 = 0 + -5y
-9x = 0 + -5y
Remove the zero:
-9x = -5y

Divide each side by '-9'.
x = 0.5555555556y

Simplifying
x = 0.5555555556y
Solution
x = {0.5555555556y}

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