(x-8)2+(y+6)2=16

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Solution for (x-8)2+(y+6)2=16 equation:


Simplifying
(x + -8) * 2 + (y + 6) * 2 = 16

Reorder the terms:
(-8 + x) * 2 + (y + 6) * 2 = 16

Reorder the terms for easier multiplication:
2(-8 + x) + (y + 6) * 2 = 16
(-8 * 2 + x * 2) + (y + 6) * 2 = 16
(-16 + 2x) + (y + 6) * 2 = 16

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

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

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

Combine like terms: -16 + 12 = -4
-4 + 2x + 2y = 16

Solving
-4 + 2x + 2y = 16

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 2x + 4 + 2y = 16 + 4

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

Combine like terms: -4 + 4 = 0
0 + 2x + 2y = 16 + 4
2x + 2y = 16 + 4

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

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

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

Divide each side by '2'.
x = 10 + -1y

Simplifying
x = 10 + -1y

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