(x+6)2+(y+8)2=14

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Solution for (x+6)2+(y+8)2=14 equation:


Simplifying
(x + 6) * 2 + (y + 8) * 2 = 14

Reorder the terms:
(6 + x) * 2 + (y + 8) * 2 = 14

Reorder the terms for easier multiplication:
2(6 + x) + (y + 8) * 2 = 14
(6 * 2 + x * 2) + (y + 8) * 2 = 14
(12 + 2x) + (y + 8) * 2 = 14

Reorder the terms:
12 + 2x + (8 + y) * 2 = 14

Reorder the terms for easier multiplication:
12 + 2x + 2(8 + y) = 14
12 + 2x + (8 * 2 + y * 2) = 14
12 + 2x + (16 + 2y) = 14

Reorder the terms:
12 + 16 + 2x + 2y = 14

Combine like terms: 12 + 16 = 28
28 + 2x + 2y = 14

Solving
28 + 2x + 2y = 14

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + 2x + -28 + 2y = 14 + -28

Reorder the terms:
28 + -28 + 2x + 2y = 14 + -28

Combine like terms: 28 + -28 = 0
0 + 2x + 2y = 14 + -28
2x + 2y = 14 + -28

Combine like terms: 14 + -28 = -14
2x + 2y = -14

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

Combine like terms: 2y + -2y = 0
2x + 0 = -14 + -2y
2x = -14 + -2y

Divide each side by '2'.
x = -7 + -1y

Simplifying
x = -7 + -1y

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