2X^2+X=(-1)

Solution for 2X^2+X=(-1) equation:

Simplifying
2X2 + X = (-1)

Reorder the terms:
X + 2X2 = (-1)
X + 2X2 = -1

Solving
X + 2X2 = -1

Solving for variable 'X'.

Reorder the terms:
1 + X + 2X2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + X + 2X2 = 0

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

Divide each side by '2'.
0.5 + 0.5X + X2 = 0

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 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 = -0.5 + 0.25

Reorder the terms:
0.25 + 0.5X + X2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
0.25 + 0.5X + X2 = -0.25

Factor a perfect square on the left side:
(X + 0.5)(X + 0.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.