2zy^3+4xz+2y+3=4z+4y^2

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Solution for 2zy^3+4xz+2y+3=4z+4y^2 equation:


Simplifying
2zy3 + 4xz + 2y + 3 = 4z + 4y2

Reorder the terms:
3 + 4xz + 2y + 2y3z = 4z + 4y2

Reorder the terms:
3 + 4xz + 2y + 2y3z = 4y2 + 4z

Solving
3 + 4xz + 2y + 2y3z = 4y2 + 4z

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + 4xz + 2y + -3 + 2y3z = 4y2 + -3 + 4z

Reorder the terms:
3 + -3 + 4xz + 2y + 2y3z = 4y2 + -3 + 4z

Combine like terms: 3 + -3 = 0
0 + 4xz + 2y + 2y3z = 4y2 + -3 + 4z
4xz + 2y + 2y3z = 4y2 + -3 + 4z

Reorder the terms:
4xz + 2y + 2y3z = -3 + 4y2 + 4z

Add '-2y' to each side of the equation.
4xz + 2y + -2y + 2y3z = -3 + 4y2 + -2y + 4z

Combine like terms: 2y + -2y = 0
4xz + 0 + 2y3z = -3 + 4y2 + -2y + 4z
4xz + 2y3z = -3 + 4y2 + -2y + 4z

Reorder the terms:
4xz + 2y3z = -3 + -2y + 4y2 + 4z

Add '-2y3z' to each side of the equation.
4xz + 2y3z + -2y3z = -3 + -2y + 4y2 + -2y3z + 4z

Combine like terms: 2y3z + -2y3z = 0
4xz + 0 = -3 + -2y + 4y2 + -2y3z + 4z
4xz = -3 + -2y + 4y2 + -2y3z + 4z

Divide each side by '4z'.
x = -0.75z-1 + -0.5yz-1 + y2z-1 + -0.5y3 + 1

Simplifying
x = -0.75z-1 + -0.5yz-1 + y2z-1 + -0.5y3 + 1

Reorder the terms:
x = 1 + -0.5yz-1 + y2z-1 + -0.5y3 + -0.75z-1

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