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

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


Simplifying
Y2 + -2y = x3 + 2x2 + 2x + C

Reorder the terms:
Y2 + -2y = C + 2x + 2x2 + x3

Solving
Y2 + -2y = C + 2x + 2x2 + x3

Solving for variable 'Y'.

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

Add '2y' to each side of the equation.
Y2 + -2y + 2y = C + 2x + 2x2 + x3 + 2y

Combine like terms: -2y + 2y = 0
Y2 + 0 = C + 2x + 2x2 + x3 + 2y
Y2 = C + 2x + 2x2 + x3 + 2y

Simplifying
Y2 = C + 2x + 2x2 + x3 + 2y

Reorder the terms:
-1C + Y2 + -2x + -2x2 + -1x3 + -2y = C + 2x + 2x2 + x3 + 2y + -1C + -2x + -2x2 + -1x3 + -2y

Reorder the terms:
-1C + Y2 + -2x + -2x2 + -1x3 + -2y = C + -1C + 2x + -2x + 2x2 + -2x2 + x3 + -1x3 + 2y + -2y

Combine like terms: C + -1C = 0
-1C + Y2 + -2x + -2x2 + -1x3 + -2y = 0 + 2x + -2x + 2x2 + -2x2 + x3 + -1x3 + 2y + -2y
-1C + Y2 + -2x + -2x2 + -1x3 + -2y = 2x + -2x + 2x2 + -2x2 + x3 + -1x3 + 2y + -2y

Combine like terms: 2x + -2x = 0
-1C + Y2 + -2x + -2x2 + -1x3 + -2y = 0 + 2x2 + -2x2 + x3 + -1x3 + 2y + -2y
-1C + Y2 + -2x + -2x2 + -1x3 + -2y = 2x2 + -2x2 + x3 + -1x3 + 2y + -2y

Combine like terms: 2x2 + -2x2 = 0
-1C + Y2 + -2x + -2x2 + -1x3 + -2y = 0 + x3 + -1x3 + 2y + -2y
-1C + Y2 + -2x + -2x2 + -1x3 + -2y = x3 + -1x3 + 2y + -2y

Combine like terms: x3 + -1x3 = 0
-1C + Y2 + -2x + -2x2 + -1x3 + -2y = 0 + 2y + -2y
-1C + Y2 + -2x + -2x2 + -1x3 + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
-1C + Y2 + -2x + -2x2 + -1x3 + -2y = 0

The solution to this equation could not be determined.

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