x^2+X+Y^2-Y=0

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Solution for x^2+X+Y^2-Y=0 equation:


Simplifying
x2 + X + Y2 + -1Y = 0

Reorder the terms:
X + -1Y + Y2 + x2 = 0

Solving
X + -1Y + Y2 + x2 = 0

Solving for variable 'X'.

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

Add 'Y' to each side of the equation.
X + -1Y + Y2 + Y + x2 = 0 + Y

Reorder the terms:
X + -1Y + Y + Y2 + x2 = 0 + Y

Combine like terms: -1Y + Y = 0
X + 0 + Y2 + x2 = 0 + Y
X + Y2 + x2 = 0 + Y
Remove the zero:
X + Y2 + x2 = Y

Add '-1Y2' to each side of the equation.
X + Y2 + -1Y2 + x2 = Y + -1Y2

Combine like terms: Y2 + -1Y2 = 0
X + 0 + x2 = Y + -1Y2
X + x2 = Y + -1Y2

Add '-1x2' to each side of the equation.
X + x2 + -1x2 = Y + -1Y2 + -1x2

Combine like terms: x2 + -1x2 = 0
X + 0 = Y + -1Y2 + -1x2
X = Y + -1Y2 + -1x2

Simplifying
X = Y + -1Y2 + -1x2

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