(x+4)2+(y+2)2=8

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Solution for (x+4)2+(y+2)2=8 equation: 


Simplifying
(x + 4) * 2 + (y + 2) * 2 = 8

Reorder the terms:
(4 + x) * 2 + (y + 2) * 2 = 8

Reorder the terms for easier multiplication:
2(4 + x) + (y + 2) * 2 = 8
(4 * 2 + x * 2) + (y + 2) * 2 = 8
(8 + 2x) + (y + 2) * 2 = 8

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

Reorder the terms for easier multiplication:
8 + 2x + 2(2 + y) = 8
8 + 2x + (2 * 2 + y * 2) = 8
8 + 2x + (4 + 2y) = 8

Reorder the terms:
8 + 4 + 2x + 2y = 8

Combine like terms: 8 + 4 = 12
12 + 2x + 2y = 8

Solving
12 + 2x + 2y = 8

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + 2x + -12 + 2y = 8 + -12

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

Combine like terms: 12 + -12 = 0
0 + 2x + 2y = 8 + -12
2x + 2y = 8 + -12

Combine like terms: 8 + -12 = -4
2x + 2y = -4

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

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

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

Simplifying
x = -2 + -1y

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