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

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


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

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

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

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

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

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

Combine like terms: -2 + -12 = -14
-14 + 2x + 2y = 25

Solving
-14 + 2x + 2y = 25

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 2x + 14 + 2y = 25 + 14

Reorder the terms:
-14 + 14 + 2x + 2y = 25 + 14

Combine like terms: -14 + 14 = 0
0 + 2x + 2y = 25 + 14
2x + 2y = 25 + 14

Combine like terms: 25 + 14 = 39
2x + 2y = 39

Add '-2y' to each side of the equation.
2x + 2y + -2y = 39 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 39 + -2y
2x = 39 + -2y

Divide each side by '2'.
x = 19.5 + -1y

Simplifying
x = 19.5 + -1y

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