(x-5)2+(y+6)2=64

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Solution for (x-5)2+(y+6)2=64 equation:


Simplifying
(x + -5) * 2 + (y + 6) * 2 = 64

Reorder the terms:
(-5 + x) * 2 + (y + 6) * 2 = 64

Reorder the terms for easier multiplication:
2(-5 + x) + (y + 6) * 2 = 64
(-5 * 2 + x * 2) + (y + 6) * 2 = 64
(-10 + 2x) + (y + 6) * 2 = 64

Reorder the terms:
-10 + 2x + (6 + y) * 2 = 64

Reorder the terms for easier multiplication:
-10 + 2x + 2(6 + y) = 64
-10 + 2x + (6 * 2 + y * 2) = 64
-10 + 2x + (12 + 2y) = 64

Reorder the terms:
-10 + 12 + 2x + 2y = 64

Combine like terms: -10 + 12 = 2
2 + 2x + 2y = 64

Solving
2 + 2x + 2y = 64

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + 2x + -2 + 2y = 64 + -2

Reorder the terms:
2 + -2 + 2x + 2y = 64 + -2

Combine like terms: 2 + -2 = 0
0 + 2x + 2y = 64 + -2
2x + 2y = 64 + -2

Combine like terms: 64 + -2 = 62
2x + 2y = 62

Add '-2y' to each side of the equation.
2x + 2y + -2y = 62 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 62 + -2y
2x = 62 + -2y

Divide each side by '2'.
x = 31 + -1y

Simplifying
x = 31 + -1y

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