0=0.25x^2-x+1

Solution for 0=0.25x^2-x+1 equation:

Simplifying
0 = 0.25x2 + -1x + 1

Reorder the terms:
0 = 1 + -1x + 0.25x2

Solving
0 = 1 + -1x + 0.25x2

Solving for variable 'x'.

Combine like terms: 0 + -1 = -1
-1 + x + -0.25x2 = 1 + -1x + 0.25x2 + -1 + x + -0.25x2

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

Combine like terms: 1 + -1 = 0
-1 + x + -0.25x2 = 0 + -1x + x + 0.25x2 + -0.25x2
-1 + x + -0.25x2 = -1x + x + 0.25x2 + -0.25x2

Combine like terms: -1x + x = 0
-1 + x + -0.25x2 = 0 + 0.25x2 + -0.25x2
-1 + x + -0.25x2 = 0.25x2 + -0.25x2

Combine like terms: 0.25x2 + -0.25x2 = 0.00
-1 + x + -0.25x2 = 0.00

Begin completing the square.  Divide all terms by
-0.25 the coefficient of the squared term: 

Divide each side by '-0.25'.
4 + -4x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -4x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -4x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -4x + x2 = 0 + -4
-4x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-4x + x2 = -4

The x term is x.  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.
-4x + 0.25 + x2 = -4 + 0.25

Reorder the terms:
0.25 + -4x + x2 = -4 + 0.25

Combine like terms: -4 + 0.25 = -3.75
0.25 + -4x + x2 = -3.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.