(x-2)2+(y+7)2=169

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Solution for (x-2)2+(y+7)2=169 equation:


Simplifying
(x + -2) * 2 + (y + 7) * 2 = 169

Reorder the terms:
(-2 + x) * 2 + (y + 7) * 2 = 169

Reorder the terms for easier multiplication:
2(-2 + x) + (y + 7) * 2 = 169
(-2 * 2 + x * 2) + (y + 7) * 2 = 169
(-4 + 2x) + (y + 7) * 2 = 169

Reorder the terms:
-4 + 2x + (7 + y) * 2 = 169

Reorder the terms for easier multiplication:
-4 + 2x + 2(7 + y) = 169
-4 + 2x + (7 * 2 + y * 2) = 169
-4 + 2x + (14 + 2y) = 169

Reorder the terms:
-4 + 14 + 2x + 2y = 169

Combine like terms: -4 + 14 = 10
10 + 2x + 2y = 169

Solving
10 + 2x + 2y = 169

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + 2x + -10 + 2y = 169 + -10

Reorder the terms:
10 + -10 + 2x + 2y = 169 + -10

Combine like terms: 10 + -10 = 0
0 + 2x + 2y = 169 + -10
2x + 2y = 169 + -10

Combine like terms: 169 + -10 = 159
2x + 2y = 159

Add '-2y' to each side of the equation.
2x + 2y + -2y = 159 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 159 + -2y
2x = 159 + -2y

Divide each side by '2'.
x = 79.5 + -1y

Simplifying
x = 79.5 + -1y

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