2x^2+x+210=0

Solution for 2x^2+x+210=0 equation:

Simplifying
2x2 + x + 210 = 0

Reorder the terms:
210 + x + 2x2 = 0

Solving
210 + x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
105 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-105' to each side of the equation.
105 + 0.5x + -105 + x2 = 0 + -105

Reorder the terms:
105 + -105 + 0.5x + x2 = 0 + -105

Combine like terms: 105 + -105 = 0
0 + 0.5x + x2 = 0 + -105
0.5x + x2 = 0 + -105

Combine like terms: 0 + -105 = -105
0.5x + x2 = -105

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.
0.5x + 0.25 + x2 = -105 + 0.25

Reorder the terms:
0.25 + 0.5x + x2 = -105 + 0.25

Combine like terms: -105 + 0.25 = -104.75
0.25 + 0.5x + x2 = -104.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -104.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.