X^2-2xy^2+y^3+1=0

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Solution for X^2-2xy^2+y^3+1=0 equation:


Simplifying
X2 + -2xy2 + y3 + 1 = 0

Reorder the terms:
1 + X2 + -2xy2 + y3 = 0

Solving
1 + X2 + -2xy2 + y3 = 0

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + X2 + -2xy2 + -1 + y3 = 0 + -1

Reorder the terms:
1 + -1 + X2 + -2xy2 + y3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + X2 + -2xy2 + y3 = 0 + -1
X2 + -2xy2 + y3 = 0 + -1

Combine like terms: 0 + -1 = -1
X2 + -2xy2 + y3 = -1

Add '2xy2' to each side of the equation.
X2 + -2xy2 + 2xy2 + y3 = -1 + 2xy2

Combine like terms: -2xy2 + 2xy2 = 0
X2 + 0 + y3 = -1 + 2xy2
X2 + y3 = -1 + 2xy2

Add '-1y3' to each side of the equation.
X2 + y3 + -1y3 = -1 + 2xy2 + -1y3

Combine like terms: y3 + -1y3 = 0
X2 + 0 = -1 + 2xy2 + -1y3
X2 = -1 + 2xy2 + -1y3

Simplifying
X2 = -1 + 2xy2 + -1y3

Reorder the terms:
1 + X2 + -2xy2 + y3 = -1 + 2xy2 + -1y3 + 1 + -2xy2 + y3

Reorder the terms:
1 + X2 + -2xy2 + y3 = -1 + 1 + 2xy2 + -2xy2 + -1y3 + y3

Combine like terms: -1 + 1 = 0
1 + X2 + -2xy2 + y3 = 0 + 2xy2 + -2xy2 + -1y3 + y3
1 + X2 + -2xy2 + y3 = 2xy2 + -2xy2 + -1y3 + y3

Combine like terms: 2xy2 + -2xy2 = 0
1 + X2 + -2xy2 + y3 = 0 + -1y3 + y3
1 + X2 + -2xy2 + y3 = -1y3 + y3

Combine like terms: -1y3 + y3 = 0
1 + X2 + -2xy2 + y3 = 0

The solution to this equation could not be determined.

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