Y^2+3y=x^3-x

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Solution for Y^2+3y=x^3-x equation: 


Simplifying
Y2 + 3y = x3 + -1x

Reorder the terms:
Y2 + 3y = -1x + x3

Solving
Y2 + 3y = -1x + x3

Solving for variable 'Y'.

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

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

Combine like terms: 3y + -3y = 0
Y2 + 0 = -1x + x3 + -3y
Y2 = -1x + x3 + -3y

Simplifying
Y2 = -1x + x3 + -3y

Reorder the terms:
Y2 + x + -1x3 + 3y = -1x + x + x3 + -1x3 + -3y + 3y

Combine like terms: -1x + x = 0
Y2 + x + -1x3 + 3y = 0 + x3 + -1x3 + -3y + 3y
Y2 + x + -1x3 + 3y = x3 + -1x3 + -3y + 3y

Combine like terms: x3 + -1x3 = 0
Y2 + x + -1x3 + 3y = 0 + -3y + 3y
Y2 + x + -1x3 + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
Y2 + x + -1x3 + 3y = 0

The solution to this equation could not be determined.

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