(x+9)2+(y-6)2=16

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Solution for (x+9)2+(y-6)2=16 equation: 


Simplifying
(x + 9) * 2 + (y + -6) * 2 = 16

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

Reorder the terms for easier multiplication:
2(9 + x) + (y + -6) * 2 = 16
(9 * 2 + x * 2) + (y + -6) * 2 = 16
(18 + 2x) + (y + -6) * 2 = 16

Reorder the terms:
18 + 2x + (-6 + y) * 2 = 16

Reorder the terms for easier multiplication:
18 + 2x + 2(-6 + y) = 16
18 + 2x + (-6 * 2 + y * 2) = 16
18 + 2x + (-12 + 2y) = 16

Reorder the terms:
18 + -12 + 2x + 2y = 16

Combine like terms: 18 + -12 = 6
6 + 2x + 2y = 16

Solving
6 + 2x + 2y = 16

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + 2x + -6 + 2y = 16 + -6

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

Combine like terms: 6 + -6 = 0
0 + 2x + 2y = 16 + -6
2x + 2y = 16 + -6

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

Add '-2y' to each side of the equation.
2x + 2y + -2y = 10 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 10 + -2y
2x = 10 + -2y

Divide each side by '2'.
x = 5 + -1y

Simplifying
x = 5 + -1y

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