64=(x+6)2+(y+3)2

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Solution for 64=(x+6)2+(y+3)2 equation:


Simplifying
64 = (x + 6) * 2 + (y + 3) * 2

Reorder the terms:
64 = (6 + x) * 2 + (y + 3) * 2

Reorder the terms for easier multiplication:
64 = 2(6 + x) + (y + 3) * 2
64 = (6 * 2 + x * 2) + (y + 3) * 2
64 = (12 + 2x) + (y + 3) * 2

Reorder the terms:
64 = 12 + 2x + (3 + y) * 2

Reorder the terms for easier multiplication:
64 = 12 + 2x + 2(3 + y)
64 = 12 + 2x + (3 * 2 + y * 2)
64 = 12 + 2x + (6 + 2y)

Reorder the terms:
64 = 12 + 6 + 2x + 2y

Combine like terms: 12 + 6 = 18
64 = 18 + 2x + 2y

Solving
64 = 18 + 2x + 2y

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
64 + -2x = 18 + 2x + -2x + 2y

Combine like terms: 2x + -2x = 0
64 + -2x = 18 + 0 + 2y
64 + -2x = 18 + 2y

Add '-64' to each side of the equation.
64 + -64 + -2x = 18 + -64 + 2y

Combine like terms: 64 + -64 = 0
0 + -2x = 18 + -64 + 2y
-2x = 18 + -64 + 2y

Combine like terms: 18 + -64 = -46
-2x = -46 + 2y

Divide each side by '-2'.
x = 23 + -1y

Simplifying
x = 23 + -1y

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