2xy^2=9x^2y

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


Simplifying
2xy2 = 9x2y

Solving
2xy2 = 9x2y

Solving for variable 'x'.

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

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

Simplifying
2y + -9x = 0

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

Solving
-9x + 2y = 0

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

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

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

Divide each side by '-9'.
x = 0.2222222222y

Simplifying
x = 0.2222222222y
Solution
x = {0.2222222222y}

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