x^2+0.5x+0.5=0

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Solution for x^2+0.5x+0.5=0 equation: 


Simplifying
x2 + 0.5x + 0.5 = 0

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

Solving
0.5 + 0.5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

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

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

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

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

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 = -0.5 + 0.0625

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

Combine like terms: -0.5 + 0.0625 = -0.4375
0.0625 + 0.5x + x2 = -0.4375

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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