(X-2)2+(y+10)2=25

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Solution for (X-2)2+(y+10)2=25 equation:


Simplifying
(X + -2) * 2 + (y + 10) * 2 = 25

Reorder the terms:
(-2 + X) * 2 + (y + 10) * 2 = 25

Reorder the terms for easier multiplication:
2(-2 + X) + (y + 10) * 2 = 25
(-2 * 2 + X * 2) + (y + 10) * 2 = 25
(-4 + 2X) + (y + 10) * 2 = 25

Reorder the terms:
-4 + 2X + (10 + y) * 2 = 25

Reorder the terms for easier multiplication:
-4 + 2X + 2(10 + y) = 25
-4 + 2X + (10 * 2 + y * 2) = 25
-4 + 2X + (20 + 2y) = 25

Reorder the terms:
-4 + 20 + 2X + 2y = 25

Combine like terms: -4 + 20 = 16
16 + 2X + 2y = 25

Solving
16 + 2X + 2y = 25

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 = 25 + -16

Reorder the terms:
16 + -16 + 2X + 2y = 25 + -16

Combine like terms: 16 + -16 = 0
0 + 2X + 2y = 25 + -16
2X + 2y = 25 + -16

Combine like terms: 25 + -16 = 9
2X + 2y = 9

Add '-2y' to each side of the equation.
2X + 2y + -2y = 9 + -2y

Combine like terms: 2y + -2y = 0
2X + 0 = 9 + -2y
2X = 9 + -2y

Divide each side by '2'.
X = 4.5 + -1y

Simplifying
X = 4.5 + -1y

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