X^2+4x+2y^2+16y+32=0

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Solution for X^2+4x+2y^2+16y+32=0 equation: 


Simplifying
X2 + 4x + 2y2 + 16y + 32 = 0

Reorder the terms:
32 + X2 + 4x + 16y + 2y2 = 0

Solving
32 + X2 + 4x + 16y + 2y2 = 0

Solving for variable 'X'.

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

Add '-32' to each side of the equation.
32 + X2 + 4x + 16y + -32 + 2y2 = 0 + -32

Reorder the terms:
32 + -32 + X2 + 4x + 16y + 2y2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + X2 + 4x + 16y + 2y2 = 0 + -32
X2 + 4x + 16y + 2y2 = 0 + -32

Combine like terms: 0 + -32 = -32
X2 + 4x + 16y + 2y2 = -32

Add '-4x' to each side of the equation.
X2 + 4x + 16y + -4x + 2y2 = -32 + -4x

Reorder the terms:
X2 + 4x + -4x + 16y + 2y2 = -32 + -4x

Combine like terms: 4x + -4x = 0
X2 + 0 + 16y + 2y2 = -32 + -4x
X2 + 16y + 2y2 = -32 + -4x

Add '-16y' to each side of the equation.
X2 + 16y + -16y + 2y2 = -32 + -4x + -16y

Combine like terms: 16y + -16y = 0
X2 + 0 + 2y2 = -32 + -4x + -16y
X2 + 2y2 = -32 + -4x + -16y

Add '-2y2' to each side of the equation.
X2 + 2y2 + -2y2 = -32 + -4x + -16y + -2y2

Combine like terms: 2y2 + -2y2 = 0
X2 + 0 = -32 + -4x + -16y + -2y2
X2 = -32 + -4x + -16y + -2y2

Simplifying
X2 = -32 + -4x + -16y + -2y2

Reorder the terms:
32 + X2 + 4x + 16y + 2y2 = -32 + -4x + -16y + -2y2 + 32 + 4x + 16y + 2y2

Reorder the terms:
32 + X2 + 4x + 16y + 2y2 = -32 + 32 + -4x + 4x + -16y + 16y + -2y2 + 2y2

Combine like terms: -32 + 32 = 0
32 + X2 + 4x + 16y + 2y2 = 0 + -4x + 4x + -16y + 16y + -2y2 + 2y2
32 + X2 + 4x + 16y + 2y2 = -4x + 4x + -16y + 16y + -2y2 + 2y2

Combine like terms: -4x + 4x = 0
32 + X2 + 4x + 16y + 2y2 = 0 + -16y + 16y + -2y2 + 2y2
32 + X2 + 4x + 16y + 2y2 = -16y + 16y + -2y2 + 2y2

Combine like terms: -16y + 16y = 0
32 + X2 + 4x + 16y + 2y2 = 0 + -2y2 + 2y2
32 + X2 + 4x + 16y + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
32 + X2 + 4x + 16y + 2y2 = 0

The solution to this equation could not be determined.

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