x^2+y^2+6X-10y-2=0

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Solution for x^2+y^2+6X-10y-2=0 equation:


Simplifying
x2 + y2 + 6X + -10y + -2 = 0

Reorder the terms:
-2 + 6X + x2 + -10y + y2 = 0

Solving
-2 + 6X + x2 + -10y + y2 = 0

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + 6X + x2 + -10y + 2 + y2 = 0 + 2

Reorder the terms:
-2 + 2 + 6X + x2 + -10y + y2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 6X + x2 + -10y + y2 = 0 + 2
6X + x2 + -10y + y2 = 0 + 2

Combine like terms: 0 + 2 = 2
6X + x2 + -10y + y2 = 2

Add '-1x2' to each side of the equation.
6X + x2 + -10y + -1x2 + y2 = 2 + -1x2

Reorder the terms:
6X + x2 + -1x2 + -10y + y2 = 2 + -1x2

Combine like terms: x2 + -1x2 = 0
6X + 0 + -10y + y2 = 2 + -1x2
6X + -10y + y2 = 2 + -1x2

Add '10y' to each side of the equation.
6X + -10y + 10y + y2 = 2 + -1x2 + 10y

Combine like terms: -10y + 10y = 0
6X + 0 + y2 = 2 + -1x2 + 10y
6X + y2 = 2 + -1x2 + 10y

Add '-1y2' to each side of the equation.
6X + y2 + -1y2 = 2 + -1x2 + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
6X + 0 = 2 + -1x2 + 10y + -1y2
6X = 2 + -1x2 + 10y + -1y2

Divide each side by '6'.
X = 0.3333333333 + -0.1666666667x2 + 1.666666667y + -0.1666666667y2

Simplifying
X = 0.3333333333 + -0.1666666667x2 + 1.666666667y + -0.1666666667y2

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