x^3y+z^2y^2-2z^2y-2zy^2=

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Solution for x^3y+z^2y^2-2z^2y-2zy^2= equation: 


Simplifying
x3y + z2y2 + -2z2y + -2zy2 = 0

Reorder the terms:
x3y + -2yz2 + -2y2z + y2z2 = 0

Solving
x3y + -2yz2 + -2y2z + y2z2 = 0

Solving for variable 'x'.

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

Add '2yz2' to each side of the equation.
x3y + -2yz2 + -2y2z + 2yz2 + y2z2 = 0 + 2yz2

Reorder the terms:
x3y + -2yz2 + 2yz2 + -2y2z + y2z2 = 0 + 2yz2

Combine like terms: -2yz2 + 2yz2 = 0
x3y + 0 + -2y2z + y2z2 = 0 + 2yz2
x3y + -2y2z + y2z2 = 0 + 2yz2
Remove the zero:
x3y + -2y2z + y2z2 = 2yz2

Add '2y2z' to each side of the equation.
x3y + -2y2z + 2y2z + y2z2 = 2yz2 + 2y2z

Combine like terms: -2y2z + 2y2z = 0
x3y + 0 + y2z2 = 2yz2 + 2y2z
x3y + y2z2 = 2yz2 + 2y2z

Add '-1y2z2' to each side of the equation.
x3y + y2z2 + -1y2z2 = 2yz2 + 2y2z + -1y2z2

Combine like terms: y2z2 + -1y2z2 = 0
x3y + 0 = 2yz2 + 2y2z + -1y2z2
x3y = 2yz2 + 2y2z + -1y2z2

Divide each side by 'y'.
x3 = 2z2 + 2yz + -1yz2

Simplifying
x3 = 2z2 + 2yz + -1yz2

Reorder the terms:
x3 = 2yz + -1yz2 + 2z2

Reorder the terms:
x3 + -2yz + yz2 + -2z2 = 2yz + -2yz + -1yz2 + yz2 + 2z2 + -2z2

Combine like terms: 2yz + -2yz = 0
x3 + -2yz + yz2 + -2z2 = 0 + -1yz2 + yz2 + 2z2 + -2z2
x3 + -2yz + yz2 + -2z2 = -1yz2 + yz2 + 2z2 + -2z2

Combine like terms: -1yz2 + yz2 = 0
x3 + -2yz + yz2 + -2z2 = 0 + 2z2 + -2z2
x3 + -2yz + yz2 + -2z2 = 2z2 + -2z2

Combine like terms: 2z2 + -2z2 = 0
x3 + -2yz + yz2 + -2z2 = 0

The solution to this equation could not be determined.

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