(2xy+X)(xy+4x)=

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Solution for (2xy+X)(xy+4x)= equation: 


Simplifying
(2xy + X)(xy + 4x) = 0

Reorder the terms:
(X + 2xy)(xy + 4x) = 0

Reorder the terms:
(X + 2xy)(4x + xy) = 0

Multiply (X + 2xy) * (4x + xy)
(X(4x + xy) + 2xy * (4x + xy)) = 0
((4x * X + xy * X) + 2xy * (4x + xy)) = 0
((4xX + xyX) + 2xy * (4x + xy)) = 0
(4xX + xyX + (4x * 2xy + xy * 2xy)) = 0
(4xX + xyX + (8x2y + 2x2y2)) = 0
(4xX + xyX + 8x2y + 2x2y2) = 0

Solving
4xX + xyX + 8x2y + 2x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4X + yX + 8xy + 2xy2) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(4X + yX + 8xy + 2xy2)' equal to zero and attempt to solve:

Simplifying
4X + yX + 8xy + 2xy2 = 0

Reorder the terms:
4X + 8xy + 2xy2 + yX = 0

Solving
4X + 8xy + 2xy2 + yX = 0

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

Add '-4X' to each side of the equation.
4X + 8xy + 2xy2 + -4X + yX = 0 + -4X

Reorder the terms:
4X + -4X + 8xy + 2xy2 + yX = 0 + -4X

Combine like terms: 4X + -4X = 0
0 + 8xy + 2xy2 + yX = 0 + -4X
8xy + 2xy2 + yX = 0 + -4X
Remove the zero:
8xy + 2xy2 + yX = -4X

Add '-1yX' to each side of the equation.
8xy + 2xy2 + yX + -1yX = -4X + -1yX

Combine like terms: yX + -1yX = 0
8xy + 2xy2 + 0 = -4X + -1yX
8xy + 2xy2 = -4X + -1yX

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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