Y^2-2yx^2+3x^3-1=0

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Solution for Y^2-2yx^2+3x^3-1=0 equation:


Simplifying
Y2 + -2yx2 + 3x3 + -1 = 0

Reorder the terms:
-1 + Y2 + -2x2y + 3x3 = 0

Solving
-1 + Y2 + -2x2y + 3x3 = 0

Solving for variable 'Y'.

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

Add '1' to each side of the equation.
-1 + Y2 + -2x2y + 1 + 3x3 = 0 + 1

Reorder the terms:
-1 + 1 + Y2 + -2x2y + 3x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + Y2 + -2x2y + 3x3 = 0 + 1
Y2 + -2x2y + 3x3 = 0 + 1

Combine like terms: 0 + 1 = 1
Y2 + -2x2y + 3x3 = 1

Add '2x2y' to each side of the equation.
Y2 + -2x2y + 2x2y + 3x3 = 1 + 2x2y

Combine like terms: -2x2y + 2x2y = 0
Y2 + 0 + 3x3 = 1 + 2x2y
Y2 + 3x3 = 1 + 2x2y

Add '-3x3' to each side of the equation.
Y2 + 3x3 + -3x3 = 1 + 2x2y + -3x3

Combine like terms: 3x3 + -3x3 = 0
Y2 + 0 = 1 + 2x2y + -3x3
Y2 = 1 + 2x2y + -3x3

Simplifying
Y2 = 1 + 2x2y + -3x3

Reorder the terms:
-1 + Y2 + -2x2y + 3x3 = 1 + 2x2y + -3x3 + -1 + -2x2y + 3x3

Reorder the terms:
-1 + Y2 + -2x2y + 3x3 = 1 + -1 + 2x2y + -2x2y + -3x3 + 3x3

Combine like terms: 1 + -1 = 0
-1 + Y2 + -2x2y + 3x3 = 0 + 2x2y + -2x2y + -3x3 + 3x3
-1 + Y2 + -2x2y + 3x3 = 2x2y + -2x2y + -3x3 + 3x3

Combine like terms: 2x2y + -2x2y = 0
-1 + Y2 + -2x2y + 3x3 = 0 + -3x3 + 3x3
-1 + Y2 + -2x2y + 3x3 = -3x3 + 3x3

Combine like terms: -3x3 + 3x3 = 0
-1 + Y2 + -2x2y + 3x3 = 0

The solution to this equation could not be determined.

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