4xy+y^3+6y=0

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Solution for 4xy+y^3+6y=0 equation:


Simplifying
4xy + y3 + 6y = 0

Reorder the terms:
4xy + 6y + y3 = 0

Solving
4xy + 6y + y3 = 0

Solving for variable 'x'.

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

Add '-6y' to each side of the equation.
4xy + 6y + -6y + y3 = 0 + -6y

Combine like terms: 6y + -6y = 0
4xy + 0 + y3 = 0 + -6y
4xy + y3 = 0 + -6y
Remove the zero:
4xy + y3 = -6y

Add '-1y3' to each side of the equation.
4xy + y3 + -1y3 = -6y + -1y3

Combine like terms: y3 + -1y3 = 0
4xy + 0 = -6y + -1y3
4xy = -6y + -1y3

Divide each side by '4y'.
x = -1.5 + -0.25y2

Simplifying
x = -1.5 + -0.25y2

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