(x-4)2+(y+12)2=189

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Solution for (x-4)2+(y+12)2=189 equation: 


Simplifying
(x + -4) * 2 + (y + 12) * 2 = 189

Reorder the terms:
(-4 + x) * 2 + (y + 12) * 2 = 189

Reorder the terms for easier multiplication:
2(-4 + x) + (y + 12) * 2 = 189
(-4 * 2 + x * 2) + (y + 12) * 2 = 189
(-8 + 2x) + (y + 12) * 2 = 189

Reorder the terms:
-8 + 2x + (12 + y) * 2 = 189

Reorder the terms for easier multiplication:
-8 + 2x + 2(12 + y) = 189
-8 + 2x + (12 * 2 + y * 2) = 189
-8 + 2x + (24 + 2y) = 189

Reorder the terms:
-8 + 24 + 2x + 2y = 189

Combine like terms: -8 + 24 = 16
16 + 2x + 2y = 189

Solving
16 + 2x + 2y = 189

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + 2x + -16 + 2y = 189 + -16

Reorder the terms:
16 + -16 + 2x + 2y = 189 + -16

Combine like terms: 16 + -16 = 0
0 + 2x + 2y = 189 + -16
2x + 2y = 189 + -16

Combine like terms: 189 + -16 = 173
2x + 2y = 173

Add '-2y' to each side of the equation.
2x + 2y + -2y = 173 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 173 + -2y
2x = 173 + -2y

Divide each side by '2'.
x = 86.5 + -1y

Simplifying
x = 86.5 + -1y

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