(x-6)2+(y+1)2=25

Solution for (x-6)2+(y+1)2=25 equation:

Simplifying
(x + -6) * 2 + (y + 1) * 2 = 25

Reorder the terms:
(-6 + x) * 2 + (y + 1) * 2 = 25

Reorder the terms for easier multiplication:
2(-6 + x) + (y + 1) * 2 = 25
(-6 * 2 + x * 2) + (y + 1) * 2 = 25
(-12 + 2x) + (y + 1) * 2 = 25

Reorder the terms:
-12 + 2x + (1 + y) * 2 = 25

Reorder the terms for easier multiplication:
-12 + 2x + 2(1 + y) = 25
-12 + 2x + (1 * 2 + y * 2) = 25
-12 + 2x + (2 + 2y) = 25

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

Combine like terms: -12 + 2 = -10
-10 + 2x + 2y = 25

Solving
-10 + 2x + 2y = 25

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 2x + 10 + 2y = 25 + 10

Reorder the terms:
-10 + 10 + 2x + 2y = 25 + 10

Combine like terms: -10 + 10 = 0
0 + 2x + 2y = 25 + 10
2x + 2y = 25 + 10

Combine like terms: 25 + 10 = 35
2x + 2y = 35

Add '-2y' to each side of the equation.
2x + 2y + -2y = 35 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 35 + -2y
2x = 35 + -2y

Divide each side by '2'.
x = 17.5 + -1y

Simplifying
x = 17.5 + -1y