=x^2-0.5x+0.25

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Solution for =x^2-0.5x+0.25 equation: 


Simplifying
0 = x2 + -0.5x + 0.25

Reorder the terms:
0 = 0.25 + -0.5x + x2

Solving
0 = 0.25 + -0.5x + x2

Solving for variable 'x'.

Combine like terms: 0 + -0.25 = -0.25
-0.25 + 0.5x + -1x2 = 0.25 + -0.5x + x2 + -0.25 + 0.5x + -1x2

Reorder the terms:
-0.25 + 0.5x + -1x2 = 0.25 + -0.25 + -0.5x + 0.5x + x2 + -1x2

Combine like terms: 0.25 + -0.25 = 0.00
-0.25 + 0.5x + -1x2 = 0.00 + -0.5x + 0.5x + x2 + -1x2
-0.25 + 0.5x + -1x2 = -0.5x + 0.5x + x2 + -1x2

Combine like terms: -0.5x + 0.5x = 0.0
-0.25 + 0.5x + -1x2 = 0.0 + x2 + -1x2
-0.25 + 0.5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-0.25 + 0.5x + -1x2 = 0

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

Divide each side by '-1'.
0.25 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.5x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.5x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.5x + x2 = 0 + -0.25
-0.5x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.5x + x2 = -0.25

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.25 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.25 + 0.0625

Combine like terms: -0.25 + 0.0625 = -0.1875
0.0625 + -0.5x + x2 = -0.1875

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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