2X^2+y^2-8x+6y+13=0

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Solution for 2X^2+y^2-8x+6y+13=0 equation: 


Simplifying
2X2 + y2 + -8x + 6y + 13 = 0

Reorder the terms:
13 + 2X2 + -8x + 6y + y2 = 0

Solving
13 + 2X2 + -8x + 6y + y2 = 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 + 2X2 + -8x + 6y + -13 + y2 = 0 + -13

Reorder the terms:
13 + -13 + 2X2 + -8x + 6y + y2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 2X2 + -8x + 6y + y2 = 0 + -13
2X2 + -8x + 6y + y2 = 0 + -13

Combine like terms: 0 + -13 = -13
2X2 + -8x + 6y + y2 = -13

Add '8x' to each side of the equation.
2X2 + -8x + 6y + 8x + y2 = -13 + 8x

Reorder the terms:
2X2 + -8x + 8x + 6y + y2 = -13 + 8x

Combine like terms: -8x + 8x = 0
2X2 + 0 + 6y + y2 = -13 + 8x
2X2 + 6y + y2 = -13 + 8x

Add '-6y' to each side of the equation.
2X2 + 6y + -6y + y2 = -13 + 8x + -6y

Combine like terms: 6y + -6y = 0
2X2 + 0 + y2 = -13 + 8x + -6y
2X2 + y2 = -13 + 8x + -6y

Add '-1y2' to each side of the equation.
2X2 + y2 + -1y2 = -13 + 8x + -6y + -1y2

Combine like terms: y2 + -1y2 = 0
2X2 + 0 = -13 + 8x + -6y + -1y2
2X2 = -13 + 8x + -6y + -1y2

Divide each side by '2'.
X2 = -6.5 + 4x + -3y + -0.5y2

Simplifying
X2 = -6.5 + 4x + -3y + -0.5y2

Reorder the terms:
6.5 + X2 + -4x + 3y + 0.5y2 = -6.5 + 4x + -3y + -0.5y2 + 6.5 + -4x + 3y + 0.5y2

Reorder the terms:
6.5 + X2 + -4x + 3y + 0.5y2 = -6.5 + 6.5 + 4x + -4x + -3y + 3y + -0.5y2 + 0.5y2

Combine like terms: -6.5 + 6.5 = 0.0
6.5 + X2 + -4x + 3y + 0.5y2 = 0.0 + 4x + -4x + -3y + 3y + -0.5y2 + 0.5y2
6.5 + X2 + -4x + 3y + 0.5y2 = 4x + -4x + -3y + 3y + -0.5y2 + 0.5y2

Combine like terms: 4x + -4x = 0
6.5 + X2 + -4x + 3y + 0.5y2 = 0 + -3y + 3y + -0.5y2 + 0.5y2
6.5 + X2 + -4x + 3y + 0.5y2 = -3y + 3y + -0.5y2 + 0.5y2

Combine like terms: -3y + 3y = 0
6.5 + X2 + -4x + 3y + 0.5y2 = 0 + -0.5y2 + 0.5y2
6.5 + X2 + -4x + 3y + 0.5y2 = -0.5y2 + 0.5y2

Combine like terms: -0.5y2 + 0.5y2 = 0.0
6.5 + X2 + -4x + 3y + 0.5y2 = 0.0

The solution to this equation could not be determined.

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