(x-3)2+(y+6)2=64

Solution for (x-3)2+(y+6)2=64 equation:

Simplifying
(x + -3) * 2 + (y + 6) * 2 = 64

Reorder the terms:
(-3 + x) * 2 + (y + 6) * 2 = 64

Reorder the terms for easier multiplication:
2(-3 + x) + (y + 6) * 2 = 64
(-3 * 2 + x * 2) + (y + 6) * 2 = 64
(-6 + 2x) + (y + 6) * 2 = 64

Reorder the terms:
-6 + 2x + (6 + y) * 2 = 64

Reorder the terms for easier multiplication:
-6 + 2x + 2(6 + y) = 64
-6 + 2x + (6 * 2 + y * 2) = 64
-6 + 2x + (12 + 2y) = 64

Reorder the terms:
-6 + 12 + 2x + 2y = 64

Combine like terms: -6 + 12 = 6
6 + 2x + 2y = 64

Solving
6 + 2x + 2y = 64

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + 2x + -6 + 2y = 64 + -6

Reorder the terms:
6 + -6 + 2x + 2y = 64 + -6

Combine like terms: 6 + -6 = 0
0 + 2x + 2y = 64 + -6
2x + 2y = 64 + -6

Combine like terms: 64 + -6 = 58
2x + 2y = 58

Add '-2y' to each side of the equation.
2x + 2y + -2y = 58 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 58 + -2y
2x = 58 + -2y

Divide each side by '2'.
x = 29 + -1y

Simplifying
x = 29 + -1y