x^2-8x+256=0

Solution for x^2-8x+256=0 equation:

Simplifying
x2 + -8x + 256 = 0

Reorder the terms:
256 + -8x + x2 = 0

Solving
256 + -8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-256' to each side of the equation.
256 + -8x + -256 + x2 = 0 + -256

Reorder the terms:
256 + -256 + -8x + x2 = 0 + -256

Combine like terms: 256 + -256 = 0
0 + -8x + x2 = 0 + -256
-8x + x2 = 0 + -256

Combine like terms: 0 + -256 = -256
-8x + x2 = -256

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 = -256 + 16

Reorder the terms:
16 + -8x + x2 = -256 + 16

Combine like terms: -256 + 16 = -240
16 + -8x + x2 = -240

Factor a perfect square on the left side:
(x + -4)(x + -4) = -240

Can't calculate square root of the right side.

The solution to this equation could not be determined.