X^2-3y^2+2x+12y-23=0

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Solution for X^2-3y^2+2x+12y-23=0 equation:


Simplifying
X2 + -3y2 + 2x + 12y + -23 = 0

Reorder the terms:
-23 + X2 + 2x + 12y + -3y2 = 0

Solving
-23 + X2 + 2x + 12y + -3y2 = 0

Solving for variable 'X'.

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

Add '23' to each side of the equation.
-23 + X2 + 2x + 12y + 23 + -3y2 = 0 + 23

Reorder the terms:
-23 + 23 + X2 + 2x + 12y + -3y2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + X2 + 2x + 12y + -3y2 = 0 + 23
X2 + 2x + 12y + -3y2 = 0 + 23

Combine like terms: 0 + 23 = 23
X2 + 2x + 12y + -3y2 = 23

Add '-2x' to each side of the equation.
X2 + 2x + 12y + -2x + -3y2 = 23 + -2x

Reorder the terms:
X2 + 2x + -2x + 12y + -3y2 = 23 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + 12y + -3y2 = 23 + -2x
X2 + 12y + -3y2 = 23 + -2x

Add '-12y' to each side of the equation.
X2 + 12y + -12y + -3y2 = 23 + -2x + -12y

Combine like terms: 12y + -12y = 0
X2 + 0 + -3y2 = 23 + -2x + -12y
X2 + -3y2 = 23 + -2x + -12y

Add '3y2' to each side of the equation.
X2 + -3y2 + 3y2 = 23 + -2x + -12y + 3y2

Combine like terms: -3y2 + 3y2 = 0
X2 + 0 = 23 + -2x + -12y + 3y2
X2 = 23 + -2x + -12y + 3y2

Simplifying
X2 = 23 + -2x + -12y + 3y2

Reorder the terms:
-23 + X2 + 2x + 12y + -3y2 = 23 + -2x + -12y + 3y2 + -23 + 2x + 12y + -3y2

Reorder the terms:
-23 + X2 + 2x + 12y + -3y2 = 23 + -23 + -2x + 2x + -12y + 12y + 3y2 + -3y2

Combine like terms: 23 + -23 = 0
-23 + X2 + 2x + 12y + -3y2 = 0 + -2x + 2x + -12y + 12y + 3y2 + -3y2
-23 + X2 + 2x + 12y + -3y2 = -2x + 2x + -12y + 12y + 3y2 + -3y2

Combine like terms: -2x + 2x = 0
-23 + X2 + 2x + 12y + -3y2 = 0 + -12y + 12y + 3y2 + -3y2
-23 + X2 + 2x + 12y + -3y2 = -12y + 12y + 3y2 + -3y2

Combine like terms: -12y + 12y = 0
-23 + X2 + 2x + 12y + -3y2 = 0 + 3y2 + -3y2
-23 + X2 + 2x + 12y + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-23 + X2 + 2x + 12y + -3y2 = 0

The solution to this equation could not be determined.

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