3x^2y^3=xy^2-xy

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Solution for 3x^2y^3=xy^2-xy equation: 


Simplifying
3x2y3 = xy2 + -1xy

Reorder the terms:
3x2y3 = -1xy + xy2

Solving
3x2y3 = -1xy + xy2

Solving for variable 'x'.

Reorder the terms:
xy + -1xy2 + 3x2y3 = -1xy + xy2 + xy + -1xy2

Reorder the terms:
xy + -1xy2 + 3x2y3 = -1xy + xy + xy2 + -1xy2

Combine like terms: -1xy + xy = 0
xy + -1xy2 + 3x2y3 = 0 + xy2 + -1xy2
xy + -1xy2 + 3x2y3 = xy2 + -1xy2

Combine like terms: xy2 + -1xy2 = 0
xy + -1xy2 + 3x2y3 = 0

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(1 + -1y + 3xy2) = 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 '(1 + -1y + 3xy2)' equal to zero and attempt to solve:

Simplifying
1 + -1y + 3xy2 = 0

Reorder the terms:
1 + 3xy2 + -1y = 0

Solving
1 + 3xy2 + -1y = 0

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

Add '-1' to each side of the equation.
1 + 3xy2 + -1 + -1y = 0 + -1

Reorder the terms:
1 + -1 + 3xy2 + -1y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3xy2 + -1y = 0 + -1
3xy2 + -1y = 0 + -1

Combine like terms: 0 + -1 = -1
3xy2 + -1y = -1

Add 'y' to each side of the equation.
3xy2 + -1y + y = -1 + y

Combine like terms: -1y + y = 0
3xy2 + 0 = -1 + y
3xy2 = -1 + y

Divide each side by '3y2'.
x = -0.3333333333y-2 + 0.3333333333y-1

Simplifying
x = -0.3333333333y-2 + 0.3333333333y-1
Solution
x = {-0.3333333333y-2 + 0.3333333333y-1}

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