y^2+2xyz=1

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Solution for y^2+2xyz=1 equation: 


Simplifying
y2 + 2xyz = 1

Reorder the terms:
2xyz + y2 = 1

Solving
2xyz + y2 = 1

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
2xyz + y2 + -1y2 = 1 + -1y2

Combine like terms: y2 + -1y2 = 0
2xyz + 0 = 1 + -1y2
2xyz = 1 + -1y2

Divide each side by '2yz'.
x = 0.5y-1z-1 + -0.5yz-1

Simplifying
x = 0.5y-1z-1 + -0.5yz-1

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