xy-(x-1)y^3-1=0

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Solution for xy-(x-1)y^3-1=0 equation:


Simplifying
xy + -1(x + -1) * y3 + -1 = 0

Reorder the terms:
xy + -1(-1 + x) * y3 + -1 = 0

Reorder the terms for easier multiplication:
xy + -1y3(-1 + x) + -1 = 0
xy + (-1 * -1y3 + x * -1y3) + -1 = 0

Reorder the terms:
xy + (-1xy3 + 1y3) + -1 = 0
xy + (-1xy3 + 1y3) + -1 = 0

Reorder the terms:
-1 + xy + -1xy3 + 1y3 = 0

Solving
-1 + xy + -1xy3 + 1y3 = 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 + xy + -1xy3 + 1 + 1y3 = 0 + 1

Reorder the terms:
-1 + 1 + xy + -1xy3 + 1y3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + xy + -1xy3 + 1y3 = 0 + 1
xy + -1xy3 + 1y3 = 0 + 1

Combine like terms: 0 + 1 = 1
xy + -1xy3 + 1y3 = 1

Add '-1y3' to each side of the equation.
xy + -1xy3 + 1y3 + -1y3 = 1 + -1y3

Combine like terms: 1y3 + -1y3 = 0
xy + -1xy3 + 0 = 1 + -1y3
xy + -1xy3 = 1 + -1y3

Reorder the terms:
-1 + xy + -1xy3 + y3 = 1 + -1y3 + -1 + y3

Reorder the terms:
-1 + xy + -1xy3 + y3 = 1 + -1 + -1y3 + y3

Combine like terms: 1 + -1 = 0
-1 + xy + -1xy3 + y3 = 0 + -1y3 + y3
-1 + xy + -1xy3 + y3 = -1y3 + y3

Combine like terms: -1y3 + y3 = 0
-1 + xy + -1xy3 + y3 = 0

The solution to this equation could not be determined.

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