(x-3)2+(y+6)2=25

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Solution for (x-3)2+(y+6)2=25 equation:


Simplifying
(x + -3) * 2 + (y + 6) * 2 = 25

Reorder the terms:
(-3 + x) * 2 + (y + 6) * 2 = 25

Reorder the terms for easier multiplication:
2(-3 + x) + (y + 6) * 2 = 25
(-3 * 2 + x * 2) + (y + 6) * 2 = 25
(-6 + 2x) + (y + 6) * 2 = 25

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

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

Reorder the terms:
-6 + 12 + 2x + 2y = 25

Combine like terms: -6 + 12 = 6
6 + 2x + 2y = 25

Solving
6 + 2x + 2y = 25

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + 2x + -6 + 2y = 25 + -6

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

Combine like terms: 6 + -6 = 0
0 + 2x + 2y = 25 + -6
2x + 2y = 25 + -6

Combine like terms: 25 + -6 = 19
2x + 2y = 19

Add '-2y' to each side of the equation.
2x + 2y + -2y = 19 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 19 + -2y
2x = 19 + -2y

Divide each side by '2'.
x = 9.5 + -1y

Simplifying
x = 9.5 + -1y

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