(A-1)2+(B-9)2+(C-5)2=0

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Solution for (A-1)2+(B-9)2+(C-5)2=0 equation: 


Simplifying
(A + -1) * 2 + (B + -9) * 2 + (C + -5) * 2 = 0

Reorder the terms:
(-1 + A) * 2 + (B + -9) * 2 + (C + -5) * 2 = 0

Reorder the terms for easier multiplication:
2(-1 + A) + (B + -9) * 2 + (C + -5) * 2 = 0
(-1 * 2 + A * 2) + (B + -9) * 2 + (C + -5) * 2 = 0
(-2 + 2A) + (B + -9) * 2 + (C + -5) * 2 = 0

Reorder the terms:
-2 + 2A + (-9 + B) * 2 + (C + -5) * 2 = 0

Reorder the terms for easier multiplication:
-2 + 2A + 2(-9 + B) + (C + -5) * 2 = 0
-2 + 2A + (-9 * 2 + B * 2) + (C + -5) * 2 = 0
-2 + 2A + (-18 + 2B) + (C + -5) * 2 = 0

Reorder the terms:
-2 + 2A + -18 + 2B + (-5 + C) * 2 = 0

Reorder the terms for easier multiplication:
-2 + 2A + -18 + 2B + 2(-5 + C) = 0
-2 + 2A + -18 + 2B + (-5 * 2 + C * 2) = 0
-2 + 2A + -18 + 2B + (-10 + 2C) = 0

Reorder the terms:
-2 + -18 + -10 + 2A + 2B + 2C = 0

Combine like terms: -2 + -18 = -20
-20 + -10 + 2A + 2B + 2C = 0

Combine like terms: -20 + -10 = -30
-30 + 2A + 2B + 2C = 0

Solving
-30 + 2A + 2B + 2C = 0

Solving for variable 'A'.

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

Add '30' to each side of the equation.
-30 + 2A + 2B + 30 + 2C = 0 + 30

Reorder the terms:
-30 + 30 + 2A + 2B + 2C = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 2A + 2B + 2C = 0 + 30
2A + 2B + 2C = 0 + 30

Combine like terms: 0 + 30 = 30
2A + 2B + 2C = 30

Add '-2B' to each side of the equation.
2A + 2B + -2B + 2C = 30 + -2B

Combine like terms: 2B + -2B = 0
2A + 0 + 2C = 30 + -2B
2A + 2C = 30 + -2B

Add '-2C' to each side of the equation.
2A + 2C + -2C = 30 + -2B + -2C

Combine like terms: 2C + -2C = 0
2A + 0 = 30 + -2B + -2C
2A = 30 + -2B + -2C

Divide each side by '2'.
A = 15 + -1B + -1C

Simplifying
A = 15 + -1B + -1C

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