(x+6)2+(y-5)2=8

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Solution for (x+6)2+(y-5)2=8 equation:


Simplifying
(x + 6) * 2 + (y + -5) * 2 = 8

Reorder the terms:
(6 + x) * 2 + (y + -5) * 2 = 8

Reorder the terms for easier multiplication:
2(6 + x) + (y + -5) * 2 = 8
(6 * 2 + x * 2) + (y + -5) * 2 = 8
(12 + 2x) + (y + -5) * 2 = 8

Reorder the terms:
12 + 2x + (-5 + y) * 2 = 8

Reorder the terms for easier multiplication:
12 + 2x + 2(-5 + y) = 8
12 + 2x + (-5 * 2 + y * 2) = 8
12 + 2x + (-10 + 2y) = 8

Reorder the terms:
12 + -10 + 2x + 2y = 8

Combine like terms: 12 + -10 = 2
2 + 2x + 2y = 8

Solving
2 + 2x + 2y = 8

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 = 8 + -2

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

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

Combine like terms: 8 + -2 = 6
2x + 2y = 6

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

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

Divide each side by '2'.
x = 3 + -1y

Simplifying
x = 3 + -1y

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