2x^2y=9xy^2

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Solution for 2x^2y=9xy^2 equation: 


Simplifying
2x2y = 9xy2

Solving
2x2y = 9xy2

Solving for variable 'x'.

Reorder the terms:
-9xy2 + 2x2y = 9xy2 + -9xy2

Combine like terms: 9xy2 + -9xy2 = 0
-9xy2 + 2x2y = 0

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

Simplifying
-9y + 2x = 0

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

Solving
2x + -9y = 0

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

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

Combine like terms: -9y + 9y = 0
2x + 0 = 0 + 9y
2x = 0 + 9y
Remove the zero:
2x = 9y

Divide each side by '2'.
x = 4.5y

Simplifying
x = 4.5y
Solution
x = {4.5y}

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