x^3y^2(xy+4x^2)=0

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Solution for x^3y^2(xy+4x^2)=0 equation: 


Simplifying
x3y2(xy + 4x2) = 0
(xy * x3y2 + 4x2 * x3y2) = 0
(x4y3 + 4x5y2) = 0

Solving
x4y3 + 4x5y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x4y2'.
x4y2(y + 4x) = 0


Subproblem 1
Set the factor 'x4y2' equal to zero and attempt to solve:

Simplifying
x4y2 = 0

Solving
x4y2 = 0

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

Simplifying
x4y2 = 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 + 4x)' equal to zero and attempt to solve:

Simplifying
y + 4x = 0

Reorder the terms:
4x + y = 0

Solving
4x + y = 0

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

Add '-1y' to each side of the equation.
4x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
4x + 0 = 0 + -1y
4x = 0 + -1y
Remove the zero:
4x = -1y

Divide each side by '4'.
x = -0.25y

Simplifying
x = -0.25y
Solution
x = {-0.25y}

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