X^2-4x+4y^2+12y+13=0

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Solution for X^2-4x+4y^2+12y+13=0 equation: 


Simplifying
X2 + -4x + 4y2 + 12y + 13 = 0

Reorder the terms:
13 + X2 + -4x + 12y + 4y2 = 0

Solving
13 + X2 + -4x + 12y + 4y2 = 0

Solving for variable 'X'.

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

Add '-13' to each side of the equation.
13 + X2 + -4x + 12y + -13 + 4y2 = 0 + -13

Reorder the terms:
13 + -13 + X2 + -4x + 12y + 4y2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + X2 + -4x + 12y + 4y2 = 0 + -13
X2 + -4x + 12y + 4y2 = 0 + -13

Combine like terms: 0 + -13 = -13
X2 + -4x + 12y + 4y2 = -13

Add '4x' to each side of the equation.
X2 + -4x + 12y + 4x + 4y2 = -13 + 4x

Reorder the terms:
X2 + -4x + 4x + 12y + 4y2 = -13 + 4x

Combine like terms: -4x + 4x = 0
X2 + 0 + 12y + 4y2 = -13 + 4x
X2 + 12y + 4y2 = -13 + 4x

Add '-12y' to each side of the equation.
X2 + 12y + -12y + 4y2 = -13 + 4x + -12y

Combine like terms: 12y + -12y = 0
X2 + 0 + 4y2 = -13 + 4x + -12y
X2 + 4y2 = -13 + 4x + -12y

Add '-4y2' to each side of the equation.
X2 + 4y2 + -4y2 = -13 + 4x + -12y + -4y2

Combine like terms: 4y2 + -4y2 = 0
X2 + 0 = -13 + 4x + -12y + -4y2
X2 = -13 + 4x + -12y + -4y2

Simplifying
X2 = -13 + 4x + -12y + -4y2

Reorder the terms:
13 + X2 + -4x + 12y + 4y2 = -13 + 4x + -12y + -4y2 + 13 + -4x + 12y + 4y2

Reorder the terms:
13 + X2 + -4x + 12y + 4y2 = -13 + 13 + 4x + -4x + -12y + 12y + -4y2 + 4y2

Combine like terms: -13 + 13 = 0
13 + X2 + -4x + 12y + 4y2 = 0 + 4x + -4x + -12y + 12y + -4y2 + 4y2
13 + X2 + -4x + 12y + 4y2 = 4x + -4x + -12y + 12y + -4y2 + 4y2

Combine like terms: 4x + -4x = 0
13 + X2 + -4x + 12y + 4y2 = 0 + -12y + 12y + -4y2 + 4y2
13 + X2 + -4x + 12y + 4y2 = -12y + 12y + -4y2 + 4y2

Combine like terms: -12y + 12y = 0
13 + X2 + -4x + 12y + 4y2 = 0 + -4y2 + 4y2
13 + X2 + -4x + 12y + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
13 + X2 + -4x + 12y + 4y2 = 0

The solution to this equation could not be determined.

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