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

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


Simplifying
4x2y + 2xy2 = 2xy(2x + y)

Reorder the terms:
2xy2 + 4x2y = 2xy(2x + y)
2xy2 + 4x2y = (2x * 2xy + y * 2xy)

Reorder the terms:
2xy2 + 4x2y = (2xy2 + 4x2y)
2xy2 + 4x2y = (2xy2 + 4x2y)

Add '-2xy2' to each side of the equation.
2xy2 + -2xy2 + 4x2y = 2xy2 + -2xy2 + 4x2y

Combine like terms: 2xy2 + -2xy2 = 0
0 + 4x2y = 2xy2 + -2xy2 + 4x2y
4x2y = 2xy2 + -2xy2 + 4x2y

Combine like terms: 2xy2 + -2xy2 = 0
4x2y = 0 + 4x2y
4x2y = 4x2y

Add '-4x2y' to each side of the equation.
4x2y + -4x2y = 4x2y + -4x2y

Combine like terms: 4x2y + -4x2y = 0
0 = 4x2y + -4x2y

Combine like terms: 4x2y + -4x2y = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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