X^4-x^2y+y^2-3Y=0

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Solution for X^4-x^2y+y^2-3Y=0 equation:


Simplifying
X4 + -1x2y + y2 + -3Y = 0

Reorder the terms:
X4 + -3Y + -1x2y + y2 = 0

Solving
X4 + -3Y + -1x2y + y2 = 0

Solving for variable 'X'.

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

Add '3Y' to each side of the equation.
X4 + -3Y + -1x2y + 3Y + y2 = 0 + 3Y

Reorder the terms:
X4 + -3Y + 3Y + -1x2y + y2 = 0 + 3Y

Combine like terms: -3Y + 3Y = 0
X4 + 0 + -1x2y + y2 = 0 + 3Y
X4 + -1x2y + y2 = 0 + 3Y
Remove the zero:
X4 + -1x2y + y2 = 3Y

Add 'x2y' to each side of the equation.
X4 + -1x2y + x2y + y2 = 3Y + x2y

Combine like terms: -1x2y + x2y = 0
X4 + 0 + y2 = 3Y + x2y
X4 + y2 = 3Y + x2y

Add '-1y2' to each side of the equation.
X4 + y2 + -1y2 = 3Y + x2y + -1y2

Combine like terms: y2 + -1y2 = 0
X4 + 0 = 3Y + x2y + -1y2
X4 = 3Y + x2y + -1y2

Simplifying
X4 = 3Y + x2y + -1y2

Reorder the terms:
X4 + -3Y + -1x2y + y2 = 3Y + -3Y + x2y + -1x2y + -1y2 + y2

Combine like terms: 3Y + -3Y = 0
X4 + -3Y + -1x2y + y2 = 0 + x2y + -1x2y + -1y2 + y2
X4 + -3Y + -1x2y + y2 = x2y + -1x2y + -1y2 + y2

Combine like terms: x2y + -1x2y = 0
X4 + -3Y + -1x2y + y2 = 0 + -1y2 + y2
X4 + -3Y + -1x2y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
X4 + -3Y + -1x2y + y2 = 0

The solution to this equation could not be determined.

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