(x-2)2+(y-7.5)2=r

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Solution for (x-2)2+(y-7.5)2=r equation:


Simplifying
(x + -2) * 2 + (y + -7.5) * 2 = r

Reorder the terms:
(-2 + x) * 2 + (y + -7.5) * 2 = r

Reorder the terms for easier multiplication:
2(-2 + x) + (y + -7.5) * 2 = r
(-2 * 2 + x * 2) + (y + -7.5) * 2 = r
(-4 + 2x) + (y + -7.5) * 2 = r

Reorder the terms:
-4 + 2x + (-7.5 + y) * 2 = r

Reorder the terms for easier multiplication:
-4 + 2x + 2(-7.5 + y) = r
-4 + 2x + (-7.5 * 2 + y * 2) = r
-4 + 2x + (-15 + 2y) = r

Reorder the terms:
-4 + -15 + 2x + 2y = r

Combine like terms: -4 + -15 = -19
-19 + 2x + 2y = r

Solving
-19 + 2x + 2y = r

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 2x + 19 + 2y = 19 + r

Reorder the terms:
-19 + 19 + 2x + 2y = 19 + r

Combine like terms: -19 + 19 = 0
0 + 2x + 2y = 19 + r
2x + 2y = 19 + r

Add '-2y' to each side of the equation.
2x + 2y + -2y = 19 + r + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 19 + r + -2y
2x = 19 + r + -2y

Divide each side by '2'.
x = 9.5 + 0.5r + -1y

Simplifying
x = 9.5 + 0.5r + -1y

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