(X+6)2+(y+4)2=36

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Solution for (X+6)2+(y+4)2=36 equation:


Simplifying
(X + 6) * 2 + (y + 4) * 2 = 36

Reorder the terms:
(6 + X) * 2 + (y + 4) * 2 = 36

Reorder the terms for easier multiplication:
2(6 + X) + (y + 4) * 2 = 36
(6 * 2 + X * 2) + (y + 4) * 2 = 36
(12 + 2X) + (y + 4) * 2 = 36

Reorder the terms:
12 + 2X + (4 + y) * 2 = 36

Reorder the terms for easier multiplication:
12 + 2X + 2(4 + y) = 36
12 + 2X + (4 * 2 + y * 2) = 36
12 + 2X + (8 + 2y) = 36

Reorder the terms:
12 + 8 + 2X + 2y = 36

Combine like terms: 12 + 8 = 20
20 + 2X + 2y = 36

Solving
20 + 2X + 2y = 36

Solving for variable 'X'.

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

Add '-20' to each side of the equation.
20 + 2X + -20 + 2y = 36 + -20

Reorder the terms:
20 + -20 + 2X + 2y = 36 + -20

Combine like terms: 20 + -20 = 0
0 + 2X + 2y = 36 + -20
2X + 2y = 36 + -20

Combine like terms: 36 + -20 = 16
2X + 2y = 16

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

Combine like terms: 2y + -2y = 0
2X + 0 = 16 + -2y
2X = 16 + -2y

Divide each side by '2'.
X = 8 + -1y

Simplifying
X = 8 + -1y

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