X^2+6x+3y^2-12y+15=0

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Solution for X^2+6x+3y^2-12y+15=0 equation: 


Simplifying
X2 + 6x + 3y2 + -12y + 15 = 0

Reorder the terms:
15 + X2 + 6x + -12y + 3y2 = 0

Solving
15 + X2 + 6x + -12y + 3y2 = 0

Solving for variable 'X'.

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

Add '-15' to each side of the equation.
15 + X2 + 6x + -12y + -15 + 3y2 = 0 + -15

Reorder the terms:
15 + -15 + X2 + 6x + -12y + 3y2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + X2 + 6x + -12y + 3y2 = 0 + -15
X2 + 6x + -12y + 3y2 = 0 + -15

Combine like terms: 0 + -15 = -15
X2 + 6x + -12y + 3y2 = -15

Add '-6x' to each side of the equation.
X2 + 6x + -12y + -6x + 3y2 = -15 + -6x

Reorder the terms:
X2 + 6x + -6x + -12y + 3y2 = -15 + -6x

Combine like terms: 6x + -6x = 0
X2 + 0 + -12y + 3y2 = -15 + -6x
X2 + -12y + 3y2 = -15 + -6x

Add '12y' to each side of the equation.
X2 + -12y + 12y + 3y2 = -15 + -6x + 12y

Combine like terms: -12y + 12y = 0
X2 + 0 + 3y2 = -15 + -6x + 12y
X2 + 3y2 = -15 + -6x + 12y

Add '-3y2' to each side of the equation.
X2 + 3y2 + -3y2 = -15 + -6x + 12y + -3y2

Combine like terms: 3y2 + -3y2 = 0
X2 + 0 = -15 + -6x + 12y + -3y2
X2 = -15 + -6x + 12y + -3y2

Simplifying
X2 = -15 + -6x + 12y + -3y2

Reorder the terms:
15 + X2 + 6x + -12y + 3y2 = -15 + -6x + 12y + -3y2 + 15 + 6x + -12y + 3y2

Reorder the terms:
15 + X2 + 6x + -12y + 3y2 = -15 + 15 + -6x + 6x + 12y + -12y + -3y2 + 3y2

Combine like terms: -15 + 15 = 0
15 + X2 + 6x + -12y + 3y2 = 0 + -6x + 6x + 12y + -12y + -3y2 + 3y2
15 + X2 + 6x + -12y + 3y2 = -6x + 6x + 12y + -12y + -3y2 + 3y2

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

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

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

The solution to this equation could not be determined.

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