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

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


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

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

Reorder the terms for easier multiplication:
2(6 + x) + (y + 1) * 2 = 16
(6 * 2 + x * 2) + (y + 1) * 2 = 16
(12 + 2x) + (y + 1) * 2 = 16

Reorder the terms:
12 + 2x + (1 + y) * 2 = 16

Reorder the terms for easier multiplication:
12 + 2x + 2(1 + y) = 16
12 + 2x + (1 * 2 + y * 2) = 16
12 + 2x + (2 + 2y) = 16

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

Combine like terms: 12 + 2 = 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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