x^2+2.56=x

Solution for x^2+2.56=x equation:

Simplifying
x2 + 2.56 = x

Reorder the terms:
2.56 + x2 = x

Solving
2.56 + x2 = x

Solving for variable 'x'.

Reorder the terms:
2.56 + -1x + x2 = x + -1x

Combine like terms: x + -1x = 0
2.56 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2.56' to each side of the equation.
2.56 + -1x + -2.56 + x2 = 0 + -2.56

Reorder the terms:
2.56 + -2.56 + -1x + x2 = 0 + -2.56

Combine like terms: 2.56 + -2.56 = 0.00
0.00 + -1x + x2 = 0 + -2.56
-1x + x2 = 0 + -2.56

Combine like terms: 0 + -2.56 = -2.56
-1x + x2 = -2.56

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -2.56 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -2.56 + 0.25

Combine like terms: -2.56 + 0.25 = -2.31
0.25 + -1x + x2 = -2.31

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -2.31

Can't calculate square root of the right side.

The solution to this equation could not be determined.