4x^2+y^2+4y=0

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Solution for 4x^2+y^2+4y=0 equation:


Simplifying
4x2 + y2 + 4y = 0

Reorder the terms:
4x2 + 4y + y2 = 0

Solving
4x2 + 4y + y2 = 0

Solving for variable 'x'.

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

Add '-4y' to each side of the equation.
4x2 + 4y + -4y + y2 = 0 + -4y

Combine like terms: 4y + -4y = 0
4x2 + 0 + y2 = 0 + -4y
4x2 + y2 = 0 + -4y
Remove the zero:
4x2 + y2 = -4y

Add '-1y2' to each side of the equation.
4x2 + y2 + -1y2 = -4y + -1y2

Combine like terms: y2 + -1y2 = 0
4x2 + 0 = -4y + -1y2
4x2 = -4y + -1y2

Divide each side by '4'.
x2 = -1y + -0.25y2

Simplifying
x2 = -1y + -0.25y2

Reorder the terms:
x2 + y + 0.25y2 = -1y + y + -0.25y2 + 0.25y2

Combine like terms: -1y + y = 0
x2 + y + 0.25y2 = 0 + -0.25y2 + 0.25y2
x2 + y + 0.25y2 = -0.25y2 + 0.25y2

Combine like terms: -0.25y2 + 0.25y2 = 0.00
x2 + y + 0.25y2 = 0.00

The solution to this equation could not be determined.

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