(x-0.5)2+(y-3.5)2=16

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Solution for (x-0.5)2+(y-3.5)2=16 equation: 


Simplifying
(x + -0.5) * 2 + (y + -3.5) * 2 = 16

Reorder the terms:
(-0.5 + x) * 2 + (y + -3.5) * 2 = 16

Reorder the terms for easier multiplication:
2(-0.5 + x) + (y + -3.5) * 2 = 16
(-0.5 * 2 + x * 2) + (y + -3.5) * 2 = 16
(-1 + 2x) + (y + -3.5) * 2 = 16

Reorder the terms:
-1 + 2x + (-3.5 + y) * 2 = 16

Reorder the terms for easier multiplication:
-1 + 2x + 2(-3.5 + y) = 16
-1 + 2x + (-3.5 * 2 + y * 2) = 16
-1 + 2x + (-7 + 2y) = 16

Reorder the terms:
-1 + -7 + 2x + 2y = 16

Combine like terms: -1 + -7 = -8
-8 + 2x + 2y = 16

Solving
-8 + 2x + 2y = 16

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 2x + 8 + 2y = 16 + 8

Reorder the terms:
-8 + 8 + 2x + 2y = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 2x + 2y = 16 + 8
2x + 2y = 16 + 8

Combine like terms: 16 + 8 = 24
2x + 2y = 24

Add '-2y' to each side of the equation.
2x + 2y + -2y = 24 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 24 + -2y
2x = 24 + -2y

Divide each side by '2'.
x = 12 + -1y

Simplifying
x = 12 + -1y

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