(x-1)2+(y-5)2=36

Solution for (x-1)2+(y-5)2=36 equation:

Simplifying
(x + -1) * 2 + (y + -5) * 2 = 36

Reorder the terms:
(-1 + x) * 2 + (y + -5) * 2 = 36

Reorder the terms for easier multiplication:
2(-1 + x) + (y + -5) * 2 = 36
(-1 * 2 + x * 2) + (y + -5) * 2 = 36
(-2 + 2x) + (y + -5) * 2 = 36

Reorder the terms:
-2 + 2x + (-5 + y) * 2 = 36

Reorder the terms for easier multiplication:
-2 + 2x + 2(-5 + y) = 36
-2 + 2x + (-5 * 2 + y * 2) = 36
-2 + 2x + (-10 + 2y) = 36

Reorder the terms:
-2 + -10 + 2x + 2y = 36

Combine like terms: -2 + -10 = -12
-12 + 2x + 2y = 36

Solving
-12 + 2x + 2y = 36

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 2x + 12 + 2y = 36 + 12

Reorder the terms:
-12 + 12 + 2x + 2y = 36 + 12

Combine like terms: -12 + 12 = 0
0 + 2x + 2y = 36 + 12
2x + 2y = 36 + 12

Combine like terms: 36 + 12 = 48
2x + 2y = 48

Add '-2y' to each side of the equation.
2x + 2y + -2y = 48 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 48 + -2y
2x = 48 + -2y

Divide each side by '2'.
x = 24 + -1y

Simplifying
x = 24 + -1y