X^2+6x-3y^2+12y=12

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Solution for X^2+6x-3y^2+12y=12 equation: 


Simplifying
X2 + 6x + -3y2 + 12y = 12

Reorder the terms:
X2 + 6x + 12y + -3y2 = 12

Solving
X2 + 6x + 12y + -3y2 = 12

Solving for variable 'X'.

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

Add '-6x' to each side of the equation.
X2 + 6x + 12y + -6x + -3y2 = 12 + -6x

Reorder the terms:
X2 + 6x + -6x + 12y + -3y2 = 12 + -6x

Combine like terms: 6x + -6x = 0
X2 + 0 + 12y + -3y2 = 12 + -6x
X2 + 12y + -3y2 = 12 + -6x

Add '-12y' to each side of the equation.
X2 + 12y + -12y + -3y2 = 12 + -6x + -12y

Combine like terms: 12y + -12y = 0
X2 + 0 + -3y2 = 12 + -6x + -12y
X2 + -3y2 = 12 + -6x + -12y

Add '3y2' to each side of the equation.
X2 + -3y2 + 3y2 = 12 + -6x + -12y + 3y2

Combine like terms: -3y2 + 3y2 = 0
X2 + 0 = 12 + -6x + -12y + 3y2
X2 = 12 + -6x + -12y + 3y2

Simplifying
X2 = 12 + -6x + -12y + 3y2

Reorder the terms:
-12 + X2 + 6x + 12y + -3y2 = 12 + -6x + -12y + 3y2 + -12 + 6x + 12y + -3y2

Reorder the terms:
-12 + X2 + 6x + 12y + -3y2 = 12 + -12 + -6x + 6x + -12y + 12y + 3y2 + -3y2

Combine like terms: 12 + -12 = 0
-12 + X2 + 6x + 12y + -3y2 = 0 + -6x + 6x + -12y + 12y + 3y2 + -3y2
-12 + X2 + 6x + 12y + -3y2 = -6x + 6x + -12y + 12y + 3y2 + -3y2

Combine like terms: -6x + 6x = 0
-12 + X2 + 6x + 12y + -3y2 = 0 + -12y + 12y + 3y2 + -3y2
-12 + X2 + 6x + 12y + -3y2 = -12y + 12y + 3y2 + -3y2

Combine like terms: -12y + 12y = 0
-12 + X2 + 6x + 12y + -3y2 = 0 + 3y2 + -3y2
-12 + X2 + 6x + 12y + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-12 + X2 + 6x + 12y + -3y2 = 0

The solution to this equation could not be determined.

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