33x^2y^4-11x^3y^5+22x^2y^2=0

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Solution for 33x^2y^4-11x^3y^5+22x^2y^2=0 equation: 


Simplifying
33x2y4 + -11x3y5 + 22x2y2 = 0

Reorder the terms:
22x2y2 + 33x2y4 + -11x3y5 = 0

Solving
22x2y2 + 33x2y4 + -11x3y5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '11x2y2'.
11x2y2(2 + 3y2 + -1xy3) = 0

Ignore the factor 11.

Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve:

Simplifying
x2y2 = 0

Solving
x2y2 = 0

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

Simplifying
x2y2 = 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 '(2 + 3y2 + -1xy3)' equal to zero and attempt to solve:

Simplifying
2 + 3y2 + -1xy3 = 0

Reorder the terms:
2 + -1xy3 + 3y2 = 0

Solving
2 + -1xy3 + 3y2 = 0

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

Add '-2' to each side of the equation.
2 + -1xy3 + -2 + 3y2 = 0 + -2

Reorder the terms:
2 + -2 + -1xy3 + 3y2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1xy3 + 3y2 = 0 + -2
-1xy3 + 3y2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1xy3 + 3y2 = -2

Add '-3y2' to each side of the equation.
-1xy3 + 3y2 + -3y2 = -2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-1xy3 + 0 = -2 + -3y2
-1xy3 = -2 + -3y2

Divide each side by '-1y3'.
x = 2y-3 + 3y-1

Simplifying
x = 2y-3 + 3y-1
Solution
x = {2y-3 + 3y-1}

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