(X+3)2+(y+6)2=64

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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 = 18
18 + 2X + 2y = 64

Solving
18 + 2X + 2y = 64

Solving for variable 'X'.

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

Add '-18' to each side of the equation.
18 + 2X + -18 + 2y = 64 + -18

Reorder the terms:
18 + -18 + 2X + 2y = 64 + -18

Combine like terms: 18 + -18 = 0
0 + 2X + 2y = 64 + -18
2X + 2y = 64 + -18

Combine like terms: 64 + -18 = 46
2X + 2y = 46

Add '-2y' to each side of the equation.
2X + 2y + -2y = 46 + -2y

Combine like terms: 2y + -2y = 0
2X + 0 = 46 + -2y
2X = 46 + -2y

Divide each side by '2'.
X = 23 + -1y

Simplifying
X = 23 + -1y

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