0=0.5x^2-0.25x+0.1

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Solution for 0=0.5x^2-0.25x+0.1 equation:


Simplifying
0 = 0.5x2 + -0.25x + 0.1

Reorder the terms:
0 = 0.1 + -0.25x + 0.5x2

Solving
0 = 0.1 + -0.25x + 0.5x2

Solving for variable 'x'.

Combine like terms: 0 + -0.1 = -0.1
-0.1 + 0.25x + -0.5x2 = 0.1 + -0.25x + 0.5x2 + -0.1 + 0.25x + -0.5x2

Reorder the terms:
-0.1 + 0.25x + -0.5x2 = 0.1 + -0.1 + -0.25x + 0.25x + 0.5x2 + -0.5x2

Combine like terms: 0.1 + -0.1 = 0.0
-0.1 + 0.25x + -0.5x2 = 0.0 + -0.25x + 0.25x + 0.5x2 + -0.5x2
-0.1 + 0.25x + -0.5x2 = -0.25x + 0.25x + 0.5x2 + -0.5x2

Combine like terms: -0.25x + 0.25x = 0.00
-0.1 + 0.25x + -0.5x2 = 0.00 + 0.5x2 + -0.5x2
-0.1 + 0.25x + -0.5x2 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
-0.1 + 0.25x + -0.5x2 = 0.0

Begin completing the square.  Divide all terms by
-0.5 the coefficient of the squared term: 

Divide each side by '-0.5'.
0.2 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.5x + -0.2 + x2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.5x + x2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.5x + x2 = 0 + -0.2
-0.5x + x2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.5x + x2 = -0.2

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 = -0.2 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.2 + 0.0625

Combine like terms: -0.2 + 0.0625 = -0.1375
0.0625 + -0.5x + x2 = -0.1375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.1375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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