x^2+2r+y^2=55+10y

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Solution for x^2+2r+y^2=55+10y equation:


Simplifying
x2 + 2r + y2 = 55 + 10y

Reorder the terms:
2r + x2 + y2 = 55 + 10y

Solving
2r + x2 + y2 = 55 + 10y

Solving for variable 'r'.

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

Add '-1x2' to each side of the equation.
2r + x2 + -1x2 + y2 = 55 + -1x2 + 10y

Combine like terms: x2 + -1x2 = 0
2r + 0 + y2 = 55 + -1x2 + 10y
2r + y2 = 55 + -1x2 + 10y

Add '-1y2' to each side of the equation.
2r + y2 + -1y2 = 55 + -1x2 + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
2r + 0 = 55 + -1x2 + 10y + -1y2
2r = 55 + -1x2 + 10y + -1y2

Divide each side by '2'.
r = 27.5 + -0.5x2 + 5y + -0.5y2

Simplifying
r = 27.5 + -0.5x2 + 5y + -0.5y2

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