(x-3)2+(y+5)2=16

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Solution for (x-3)2+(y+5)2=16 equation: 


Simplifying
(x + -3) * 2 + (y + 5) * 2 = 16

Reorder the terms:
(-3 + x) * 2 + (y + 5) * 2 = 16

Reorder the terms for easier multiplication:
2(-3 + x) + (y + 5) * 2 = 16
(-3 * 2 + x * 2) + (y + 5) * 2 = 16
(-6 + 2x) + (y + 5) * 2 = 16

Reorder the terms:
-6 + 2x + (5 + y) * 2 = 16

Reorder the terms for easier multiplication:
-6 + 2x + 2(5 + y) = 16
-6 + 2x + (5 * 2 + y * 2) = 16
-6 + 2x + (10 + 2y) = 16

Reorder the terms:
-6 + 10 + 2x + 2y = 16

Combine like terms: -6 + 10 = 4
4 + 2x + 2y = 16

Solving
4 + 2x + 2y = 16

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + 2x + -4 + 2y = 16 + -4

Reorder the terms:
4 + -4 + 2x + 2y = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 2x + 2y = 16 + -4
2x + 2y = 16 + -4

Combine like terms: 16 + -4 = 12
2x + 2y = 12

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

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

Divide each side by '2'.
x = 6 + -1y

Simplifying
x = 6 + -1y

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