X^2+4x+4y^2+2y=-1

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Solution for X^2+4x+4y^2+2y=-1 equation: 


Simplifying
X2 + 4x + 4y2 + 2y = -1

Reorder the terms:
X2 + 4x + 2y + 4y2 = -1

Solving
X2 + 4x + 2y + 4y2 = -1

Solving for variable 'X'.

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

Add '-4x' to each side of the equation.
X2 + 4x + 2y + -4x + 4y2 = -1 + -4x

Reorder the terms:
X2 + 4x + -4x + 2y + 4y2 = -1 + -4x

Combine like terms: 4x + -4x = 0
X2 + 0 + 2y + 4y2 = -1 + -4x
X2 + 2y + 4y2 = -1 + -4x

Add '-2y' to each side of the equation.
X2 + 2y + -2y + 4y2 = -1 + -4x + -2y

Combine like terms: 2y + -2y = 0
X2 + 0 + 4y2 = -1 + -4x + -2y
X2 + 4y2 = -1 + -4x + -2y

Add '-4y2' to each side of the equation.
X2 + 4y2 + -4y2 = -1 + -4x + -2y + -4y2

Combine like terms: 4y2 + -4y2 = 0
X2 + 0 = -1 + -4x + -2y + -4y2
X2 = -1 + -4x + -2y + -4y2

Simplifying
X2 = -1 + -4x + -2y + -4y2

Reorder the terms:
1 + X2 + 4x + 2y + 4y2 = -1 + -4x + -2y + -4y2 + 1 + 4x + 2y + 4y2

Reorder the terms:
1 + X2 + 4x + 2y + 4y2 = -1 + 1 + -4x + 4x + -2y + 2y + -4y2 + 4y2

Combine like terms: -1 + 1 = 0
1 + X2 + 4x + 2y + 4y2 = 0 + -4x + 4x + -2y + 2y + -4y2 + 4y2
1 + X2 + 4x + 2y + 4y2 = -4x + 4x + -2y + 2y + -4y2 + 4y2

Combine like terms: -4x + 4x = 0
1 + X2 + 4x + 2y + 4y2 = 0 + -2y + 2y + -4y2 + 4y2
1 + X2 + 4x + 2y + 4y2 = -2y + 2y + -4y2 + 4y2

Combine like terms: -2y + 2y = 0
1 + X2 + 4x + 2y + 4y2 = 0 + -4y2 + 4y2
1 + X2 + 4x + 2y + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
1 + X2 + 4x + 2y + 4y2 = 0

The solution to this equation could not be determined.

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