X^2+12x+2y^2+8y=3

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Solution for X^2+12x+2y^2+8y=3 equation: 


Simplifying
X2 + 12x + 2y2 + 8y = 3

Reorder the terms:
X2 + 12x + 8y + 2y2 = 3

Solving
X2 + 12x + 8y + 2y2 = 3

Solving for variable 'X'.

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

Add '-12x' to each side of the equation.
X2 + 12x + 8y + -12x + 2y2 = 3 + -12x

Reorder the terms:
X2 + 12x + -12x + 8y + 2y2 = 3 + -12x

Combine like terms: 12x + -12x = 0
X2 + 0 + 8y + 2y2 = 3 + -12x
X2 + 8y + 2y2 = 3 + -12x

Add '-8y' to each side of the equation.
X2 + 8y + -8y + 2y2 = 3 + -12x + -8y

Combine like terms: 8y + -8y = 0
X2 + 0 + 2y2 = 3 + -12x + -8y
X2 + 2y2 = 3 + -12x + -8y

Add '-2y2' to each side of the equation.
X2 + 2y2 + -2y2 = 3 + -12x + -8y + -2y2

Combine like terms: 2y2 + -2y2 = 0
X2 + 0 = 3 + -12x + -8y + -2y2
X2 = 3 + -12x + -8y + -2y2

Simplifying
X2 = 3 + -12x + -8y + -2y2

Reorder the terms:
-3 + X2 + 12x + 8y + 2y2 = 3 + -12x + -8y + -2y2 + -3 + 12x + 8y + 2y2

Reorder the terms:
-3 + X2 + 12x + 8y + 2y2 = 3 + -3 + -12x + 12x + -8y + 8y + -2y2 + 2y2

Combine like terms: 3 + -3 = 0
-3 + X2 + 12x + 8y + 2y2 = 0 + -12x + 12x + -8y + 8y + -2y2 + 2y2
-3 + X2 + 12x + 8y + 2y2 = -12x + 12x + -8y + 8y + -2y2 + 2y2

Combine like terms: -12x + 12x = 0
-3 + X2 + 12x + 8y + 2y2 = 0 + -8y + 8y + -2y2 + 2y2
-3 + X2 + 12x + 8y + 2y2 = -8y + 8y + -2y2 + 2y2

Combine like terms: -8y + 8y = 0
-3 + X2 + 12x + 8y + 2y2 = 0 + -2y2 + 2y2
-3 + X2 + 12x + 8y + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
-3 + X2 + 12x + 8y + 2y2 = 0

The solution to this equation could not be determined.

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