4x^2y+(x^2y+xy^2)=0

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Solution for 4x^2y+(x^2y+xy^2)=0 equation: 


Simplifying
4x2y + (x2y + xy2) = 0

Reorder the terms:
4x2y + (xy2 + x2y) = 0

Remove parenthesis around (xy2 + x2y)
4x2y + xy2 + x2y = 0

Reorder the terms:
xy2 + 4x2y + x2y = 0

Combine like terms: 4x2y + x2y = 5x2y
xy2 + 5x2y = 0

Solving
xy2 + 5x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(y + 5x) = 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 '(y + 5x)' equal to zero and attempt to solve:

Simplifying
y + 5x = 0

Reorder the terms:
5x + y = 0

Solving
5x + y = 0

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

Add '-1y' to each side of the equation.
5x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
5x + 0 = 0 + -1y
5x = 0 + -1y
Remove the zero:
5x = -1y

Divide each side by '5'.
x = -0.2y

Simplifying
x = -0.2y
Solution
x = {-0.2y}

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