y^3+yx^2+x^2-3y^2=0

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Solution for y^3+yx^2+x^2-3y^2=0 equation:


Simplifying
y3 + yx2 + x2 + -3y2 = 0

Reorder the terms:
x2 + x2y + -3y2 + y3 = 0

Solving
x2 + x2y + -3y2 + y3 = 0

Solving for variable 'x'.

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

Add '3y2' to each side of the equation.
x2 + x2y + -3y2 + 3y2 + y3 = 0 + 3y2

Combine like terms: -3y2 + 3y2 = 0
x2 + x2y + 0 + y3 = 0 + 3y2
x2 + x2y + y3 = 0 + 3y2
Remove the zero:
x2 + x2y + y3 = 3y2

Add '-1y3' to each side of the equation.
x2 + x2y + y3 + -1y3 = 3y2 + -1y3

Combine like terms: y3 + -1y3 = 0
x2 + x2y + 0 = 3y2 + -1y3
x2 + x2y = 3y2 + -1y3

Reorder the terms:
x2 + x2y + -3y2 + y3 = 3y2 + -3y2 + -1y3 + y3

Combine like terms: 3y2 + -3y2 = 0
x2 + x2y + -3y2 + y3 = 0 + -1y3 + y3
x2 + x2y + -3y2 + y3 = -1y3 + y3

Combine like terms: -1y3 + y3 = 0
x2 + x2y + -3y2 + y3 = 0

The solution to this equation could not be determined.

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