(x+8)2+(y+2)2=16

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Solution for (x+8)2+(y+2)2=16 equation: 


Simplifying
(x + 8) * 2 + (y + 2) * 2 = 16

Reorder the terms:
(8 + x) * 2 + (y + 2) * 2 = 16

Reorder the terms for easier multiplication:
2(8 + x) + (y + 2) * 2 = 16
(8 * 2 + x * 2) + (y + 2) * 2 = 16
(16 + 2x) + (y + 2) * 2 = 16

Reorder the terms:
16 + 2x + (2 + y) * 2 = 16

Reorder the terms for easier multiplication:
16 + 2x + 2(2 + y) = 16
16 + 2x + (2 * 2 + y * 2) = 16
16 + 2x + (4 + 2y) = 16

Reorder the terms:
16 + 4 + 2x + 2y = 16

Combine like terms: 16 + 4 = 20
20 + 2x + 2y = 16

Solving
20 + 2x + 2y = 16

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + 2x + -20 + 2y = 16 + -20

Reorder the terms:
20 + -20 + 2x + 2y = 16 + -20

Combine like terms: 20 + -20 = 0
0 + 2x + 2y = 16 + -20
2x + 2y = 16 + -20

Combine like terms: 16 + -20 = -4
2x + 2y = -4

Add '-2y' to each side of the equation.
2x + 2y + -2y = -4 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = -4 + -2y
2x = -4 + -2y

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

Simplifying
x = -2 + -1y

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