0=x^2-2x+81

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Solution for 0=x^2-2x+81 equation: 


Simplifying
0 = x2 + -2x + 81

Reorder the terms:
0 = 81 + -2x + x2

Solving
0 = 81 + -2x + x2

Solving for variable 'x'.

Combine like terms: 0 + -81 = -81
-81 + 2x + -1x2 = 81 + -2x + x2 + -81 + 2x + -1x2

Reorder the terms:
-81 + 2x + -1x2 = 81 + -81 + -2x + 2x + x2 + -1x2

Combine like terms: 81 + -81 = 0
-81 + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2
-81 + 2x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-81 + 2x + -1x2 = 0 + x2 + -1x2
-81 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-81 + 2x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
81 + -2x + x2 = 0

Move the constant term to the right:

Add '-81' to each side of the equation.
81 + -2x + -81 + x2 = 0 + -81

Reorder the terms:
81 + -81 + -2x + x2 = 0 + -81

Combine like terms: 81 + -81 = 0
0 + -2x + x2 = 0 + -81
-2x + x2 = 0 + -81

Combine like terms: 0 + -81 = -81
-2x + x2 = -81

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -81 + 1

Reorder the terms:
1 + -2x + x2 = -81 + 1

Combine like terms: -81 + 1 = -80
1 + -2x + x2 = -80

Factor a perfect square on the left side:
(x + -1)(x + -1) = -80

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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