X^2+2y^2-14x-4y+49=0

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Solution for X^2+2y^2-14x-4y+49=0 equation: 


Simplifying
X2 + 2y2 + -14x + -4y + 49 = 0

Reorder the terms:
49 + X2 + -14x + -4y + 2y2 = 0

Solving
49 + X2 + -14x + -4y + 2y2 = 0

Solving for variable 'X'.

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

Add '-49' to each side of the equation.
49 + X2 + -14x + -4y + -49 + 2y2 = 0 + -49

Reorder the terms:
49 + -49 + X2 + -14x + -4y + 2y2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + X2 + -14x + -4y + 2y2 = 0 + -49
X2 + -14x + -4y + 2y2 = 0 + -49

Combine like terms: 0 + -49 = -49
X2 + -14x + -4y + 2y2 = -49

Add '14x' to each side of the equation.
X2 + -14x + -4y + 14x + 2y2 = -49 + 14x

Reorder the terms:
X2 + -14x + 14x + -4y + 2y2 = -49 + 14x

Combine like terms: -14x + 14x = 0
X2 + 0 + -4y + 2y2 = -49 + 14x
X2 + -4y + 2y2 = -49 + 14x

Add '4y' to each side of the equation.
X2 + -4y + 4y + 2y2 = -49 + 14x + 4y

Combine like terms: -4y + 4y = 0
X2 + 0 + 2y2 = -49 + 14x + 4y
X2 + 2y2 = -49 + 14x + 4y

Add '-2y2' to each side of the equation.
X2 + 2y2 + -2y2 = -49 + 14x + 4y + -2y2

Combine like terms: 2y2 + -2y2 = 0
X2 + 0 = -49 + 14x + 4y + -2y2
X2 = -49 + 14x + 4y + -2y2

Simplifying
X2 = -49 + 14x + 4y + -2y2

Reorder the terms:
49 + X2 + -14x + -4y + 2y2 = -49 + 14x + 4y + -2y2 + 49 + -14x + -4y + 2y2

Reorder the terms:
49 + X2 + -14x + -4y + 2y2 = -49 + 49 + 14x + -14x + 4y + -4y + -2y2 + 2y2

Combine like terms: -49 + 49 = 0
49 + X2 + -14x + -4y + 2y2 = 0 + 14x + -14x + 4y + -4y + -2y2 + 2y2
49 + X2 + -14x + -4y + 2y2 = 14x + -14x + 4y + -4y + -2y2 + 2y2

Combine like terms: 14x + -14x = 0
49 + X2 + -14x + -4y + 2y2 = 0 + 4y + -4y + -2y2 + 2y2
49 + X2 + -14x + -4y + 2y2 = 4y + -4y + -2y2 + 2y2

Combine like terms: 4y + -4y = 0
49 + X2 + -14x + -4y + 2y2 = 0 + -2y2 + 2y2
49 + X2 + -14x + -4y + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
49 + X2 + -14x + -4y + 2y2 = 0

The solution to this equation could not be determined.

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