(x+9)2+(y+4)2=49

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Solution for (x+9)2+(y+4)2=49 equation:


Simplifying
(x + 9) * 2 + (y + 4) * 2 = 49

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

Reorder the terms for easier multiplication:
2(9 + x) + (y + 4) * 2 = 49
(9 * 2 + x * 2) + (y + 4) * 2 = 49
(18 + 2x) + (y + 4) * 2 = 49

Reorder the terms:
18 + 2x + (4 + y) * 2 = 49

Reorder the terms for easier multiplication:
18 + 2x + 2(4 + y) = 49
18 + 2x + (4 * 2 + y * 2) = 49
18 + 2x + (8 + 2y) = 49

Reorder the terms:
18 + 8 + 2x + 2y = 49

Combine like terms: 18 + 8 = 26
26 + 2x + 2y = 49

Solving
26 + 2x + 2y = 49

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + 2x + -26 + 2y = 49 + -26

Reorder the terms:
26 + -26 + 2x + 2y = 49 + -26

Combine like terms: 26 + -26 = 0
0 + 2x + 2y = 49 + -26
2x + 2y = 49 + -26

Combine like terms: 49 + -26 = 23
2x + 2y = 23

Add '-2y' to each side of the equation.
2x + 2y + -2y = 23 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 23 + -2y
2x = 23 + -2y

Divide each side by '2'.
x = 11.5 + -1y

Simplifying
x = 11.5 + -1y

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