x^2+y^2-4X+2y=15

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Solution for x^2+y^2-4X+2y=15 equation:


Simplifying
x2 + y2 + -4X + 2y = 15

Reorder the terms:
-4X + x2 + 2y + y2 = 15

Solving
-4X + x2 + 2y + y2 = 15

Solving for variable 'X'.

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

Add '-1x2' to each side of the equation.
-4X + x2 + 2y + -1x2 + y2 = 15 + -1x2

Reorder the terms:
-4X + x2 + -1x2 + 2y + y2 = 15 + -1x2

Combine like terms: x2 + -1x2 = 0
-4X + 0 + 2y + y2 = 15 + -1x2
-4X + 2y + y2 = 15 + -1x2

Add '-2y' to each side of the equation.
-4X + 2y + -2y + y2 = 15 + -1x2 + -2y

Combine like terms: 2y + -2y = 0
-4X + 0 + y2 = 15 + -1x2 + -2y
-4X + y2 = 15 + -1x2 + -2y

Add '-1y2' to each side of the equation.
-4X + y2 + -1y2 = 15 + -1x2 + -2y + -1y2

Combine like terms: y2 + -1y2 = 0
-4X + 0 = 15 + -1x2 + -2y + -1y2
-4X = 15 + -1x2 + -2y + -1y2

Divide each side by '-4'.
X = -3.75 + 0.25x2 + 0.5y + 0.25y2

Simplifying
X = -3.75 + 0.25x2 + 0.5y + 0.25y2

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