0=x^2-8x+80

Solution for 0=x^2-8x+80 equation:

Simplifying
0 = x2 + -8x + 80

Reorder the terms:
0 = 80 + -8x + x2

Solving
0 = 80 + -8x + x2

Solving for variable 'x'.

Combine like terms: 0 + -80 = -80
-80 + 8x + -1x2 = 80 + -8x + x2 + -80 + 8x + -1x2

Reorder the terms:
-80 + 8x + -1x2 = 80 + -80 + -8x + 8x + x2 + -1x2

Combine like terms: 80 + -80 = 0
-80 + 8x + -1x2 = 0 + -8x + 8x + x2 + -1x2
-80 + 8x + -1x2 = -8x + 8x + x2 + -1x2

Combine like terms: -8x + 8x = 0
-80 + 8x + -1x2 = 0 + x2 + -1x2
-80 + 8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-80 + 8x + -1x2 = 0

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

Divide each side by '-1'.
80 + -8x + x2 = 0

Move the constant term to the right:

Add '-80' to each side of the equation.
80 + -8x + -80 + x2 = 0 + -80

Reorder the terms:
80 + -80 + -8x + x2 = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -8x + x2 = 0 + -80
-8x + x2 = 0 + -80

Combine like terms: 0 + -80 = -80
-8x + x2 = -80

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -80 + 16

Reorder the terms:
16 + -8x + x2 = -80 + 16

Combine like terms: -80 + 16 = -64
16 + -8x + x2 = -64

Factor a perfect square on the left side:
(x + -4)(x + -4) = -64

Can't calculate square root of the right side.

The solution to this equation could not be determined.