(x-1)2+(y+6)=81

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Solution for (x-1)2+(y+6)=81 equation:


Simplifying
(x + -1) * 2 + (y + 6) = 81

Reorder the terms:
(-1 + x) * 2 + (y + 6) = 81

Reorder the terms for easier multiplication:
2(-1 + x) + (y + 6) = 81
(-1 * 2 + x * 2) + (y + 6) = 81
(-2 + 2x) + (y + 6) = 81

Reorder the terms:
-2 + 2x + (6 + y) = 81

Remove parenthesis around (6 + y)
-2 + 2x + 6 + y = 81

Reorder the terms:
-2 + 6 + 2x + y = 81

Combine like terms: -2 + 6 = 4
4 + 2x + y = 81

Solving
4 + 2x + y = 81

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + 2x + -4 + y = 81 + -4

Reorder the terms:
4 + -4 + 2x + y = 81 + -4

Combine like terms: 4 + -4 = 0
0 + 2x + y = 81 + -4
2x + y = 81 + -4

Combine like terms: 81 + -4 = 77
2x + y = 77

Add '-1y' to each side of the equation.
2x + y + -1y = 77 + -1y

Combine like terms: y + -1y = 0
2x + 0 = 77 + -1y
2x = 77 + -1y

Divide each side by '2'.
x = 38.5 + -0.5y

Simplifying
x = 38.5 + -0.5y

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