(x+12)2+(y+6)2=64

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Solution for (x+12)2+(y+6)2=64 equation:


Simplifying
(x + 12) * 2 + (y + 6) * 2 = 64

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

Reorder the terms for easier multiplication:
2(12 + x) + (y + 6) * 2 = 64
(12 * 2 + x * 2) + (y + 6) * 2 = 64
(24 + 2x) + (y + 6) * 2 = 64

Reorder the terms:
24 + 2x + (6 + y) * 2 = 64

Reorder the terms for easier multiplication:
24 + 2x + 2(6 + y) = 64
24 + 2x + (6 * 2 + y * 2) = 64
24 + 2x + (12 + 2y) = 64

Reorder the terms:
24 + 12 + 2x + 2y = 64

Combine like terms: 24 + 12 = 36
36 + 2x + 2y = 64

Solving
36 + 2x + 2y = 64

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + 2x + -36 + 2y = 64 + -36

Reorder the terms:
36 + -36 + 2x + 2y = 64 + -36

Combine like terms: 36 + -36 = 0
0 + 2x + 2y = 64 + -36
2x + 2y = 64 + -36

Combine like terms: 64 + -36 = 28
2x + 2y = 28

Add '-2y' to each side of the equation.
2x + 2y + -2y = 28 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 28 + -2y
2x = 28 + -2y

Divide each side by '2'.
x = 14 + -1y

Simplifying
x = 14 + -1y

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