(x-4)2+(y+6)2=49

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Solution for (x-4)2+(y+6)2=49 equation: 


Simplifying
(x + -4) * 2 + (y + 6) * 2 = 49

Reorder the terms:
(-4 + x) * 2 + (y + 6) * 2 = 49

Reorder the terms for easier multiplication:
2(-4 + x) + (y + 6) * 2 = 49
(-4 * 2 + x * 2) + (y + 6) * 2 = 49
(-8 + 2x) + (y + 6) * 2 = 49

Reorder the terms:
-8 + 2x + (6 + y) * 2 = 49

Reorder the terms for easier multiplication:
-8 + 2x + 2(6 + y) = 49
-8 + 2x + (6 * 2 + y * 2) = 49
-8 + 2x + (12 + 2y) = 49

Reorder the terms:
-8 + 12 + 2x + 2y = 49

Combine like terms: -8 + 12 = 4
4 + 2x + 2y = 49

Solving
4 + 2x + 2y = 49

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 = 49 + -4

Reorder the terms:
4 + -4 + 2x + 2y = 49 + -4

Combine like terms: 4 + -4 = 0
0 + 2x + 2y = 49 + -4
2x + 2y = 49 + -4

Combine like terms: 49 + -4 = 45
2x + 2y = 45

Add '-2y' to each side of the equation.
2x + 2y + -2y = 45 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 45 + -2y
2x = 45 + -2y

Divide each side by '2'.
x = 22.5 + -1y

Simplifying
x = 22.5 + -1y

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