(x-2)2+(y+6)2=25

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Solution for (x-2)2+(y+6)2=25 equation: 


Simplifying
(x + -2) * 2 + (y + 6) * 2 = 25

Reorder the terms:
(-2 + x) * 2 + (y + 6) * 2 = 25

Reorder the terms for easier multiplication:
2(-2 + x) + (y + 6) * 2 = 25
(-2 * 2 + x * 2) + (y + 6) * 2 = 25
(-4 + 2x) + (y + 6) * 2 = 25

Reorder the terms:
-4 + 2x + (6 + y) * 2 = 25

Reorder the terms for easier multiplication:
-4 + 2x + 2(6 + y) = 25
-4 + 2x + (6 * 2 + y * 2) = 25
-4 + 2x + (12 + 2y) = 25

Reorder the terms:
-4 + 12 + 2x + 2y = 25

Combine like terms: -4 + 12 = 8
8 + 2x + 2y = 25

Solving
8 + 2x + 2y = 25

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + 2x + -8 + 2y = 25 + -8

Reorder the terms:
8 + -8 + 2x + 2y = 25 + -8

Combine like terms: 8 + -8 = 0
0 + 2x + 2y = 25 + -8
2x + 2y = 25 + -8

Combine like terms: 25 + -8 = 17
2x + 2y = 17

Add '-2y' to each side of the equation.
2x + 2y + -2y = 17 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 17 + -2y
2x = 17 + -2y

Divide each side by '2'.
x = 8.5 + -1y

Simplifying
x = 8.5 + -1y

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