(x+5)2+(y+7)2=212

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Solution for (x+5)2+(y+7)2=212 equation:


Simplifying
(x + 5) * 2 + (y + 7) * 2 = 212

Reorder the terms:
(5 + x) * 2 + (y + 7) * 2 = 212

Reorder the terms for easier multiplication:
2(5 + x) + (y + 7) * 2 = 212
(5 * 2 + x * 2) + (y + 7) * 2 = 212
(10 + 2x) + (y + 7) * 2 = 212

Reorder the terms:
10 + 2x + (7 + y) * 2 = 212

Reorder the terms for easier multiplication:
10 + 2x + 2(7 + y) = 212
10 + 2x + (7 * 2 + y * 2) = 212
10 + 2x + (14 + 2y) = 212

Reorder the terms:
10 + 14 + 2x + 2y = 212

Combine like terms: 10 + 14 = 24
24 + 2x + 2y = 212

Solving
24 + 2x + 2y = 212

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + 2x + -24 + 2y = 212 + -24

Reorder the terms:
24 + -24 + 2x + 2y = 212 + -24

Combine like terms: 24 + -24 = 0
0 + 2x + 2y = 212 + -24
2x + 2y = 212 + -24

Combine like terms: 212 + -24 = 188
2x + 2y = 188

Add '-2y' to each side of the equation.
2x + 2y + -2y = 188 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 188 + -2y
2x = 188 + -2y

Divide each side by '2'.
x = 94 + -1y

Simplifying
x = 94 + -1y

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