(X+1)2+(y+6)2=16

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Solution for (X+1)2+(y+6)2=16 equation:


Simplifying
(X + 1) * 2 + (y + 6) * 2 = 16

Reorder the terms:
(1 + X) * 2 + (y + 6) * 2 = 16

Reorder the terms for easier multiplication:
2(1 + X) + (y + 6) * 2 = 16
(1 * 2 + X * 2) + (y + 6) * 2 = 16
(2 + 2X) + (y + 6) * 2 = 16

Reorder the terms:
2 + 2X + (6 + y) * 2 = 16

Reorder the terms for easier multiplication:
2 + 2X + 2(6 + y) = 16
2 + 2X + (6 * 2 + y * 2) = 16
2 + 2X + (12 + 2y) = 16

Reorder the terms:
2 + 12 + 2X + 2y = 16

Combine like terms: 2 + 12 = 14
14 + 2X + 2y = 16

Solving
14 + 2X + 2y = 16

Solving for variable 'X'.

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

Add '-14' to each side of the equation.
14 + 2X + -14 + 2y = 16 + -14

Reorder the terms:
14 + -14 + 2X + 2y = 16 + -14

Combine like terms: 14 + -14 = 0
0 + 2X + 2y = 16 + -14
2X + 2y = 16 + -14

Combine like terms: 16 + -14 = 2
2X + 2y = 2

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

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

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

Simplifying
X = 1 + -1y

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