8x^2+x+544=0

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Solution for 8x^2+x+544=0 equation:


Simplifying
8x2 + x + 544 = 0

Reorder the terms:
544 + x + 8x2 = 0

Solving
544 + x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
68 + 0.125x + x2 = 0

Move the constant term to the right:

Add '-68' to each side of the equation.
68 + 0.125x + -68 + x2 = 0 + -68

Reorder the terms:
68 + -68 + 0.125x + x2 = 0 + -68

Combine like terms: 68 + -68 = 0
0 + 0.125x + x2 = 0 + -68
0.125x + x2 = 0 + -68

Combine like terms: 0 + -68 = -68
0.125x + x2 = -68

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.
0.125x + 0.25 + x2 = -68 + 0.25

Reorder the terms:
0.25 + 0.125x + x2 = -68 + 0.25

Combine like terms: -68 + 0.25 = -67.75
0.25 + 0.125x + x2 = -67.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -67.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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