xy^2+3xy+y=0

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Solution for xy^2+3xy+y=0 equation: 


Simplifying
xy2 + 3xy + y = 0

Reorder the terms:
3xy + xy2 + y = 0

Solving
3xy + xy2 + y = 0

Solving for variable 'x'.

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

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

Combine like terms: y + -1y = 0
3xy + xy2 + 0 = 0 + -1y
3xy + xy2 = 0 + -1y
Remove the zero:
3xy + xy2 = -1y

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

Factor out the Greatest Common Factor (GCF), 'y'.
y(3x + xy + 1) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

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 '(3x + xy + 1)' equal to zero and attempt to solve:

Simplifying
3x + xy + 1 = 0

Reorder the terms:
1 + 3x + xy = 0

Solving
1 + 3x + xy = 0

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

Add '-1' to each side of the equation.
1 + 3x + -1 + xy = 0 + -1

Reorder the terms:
1 + -1 + 3x + xy = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x + xy = 0 + -1
3x + xy = 0 + -1

Combine like terms: 0 + -1 = -1
3x + xy = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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