x^2+x+13.4=0

Solution for x^2+x+13.4=0 equation:

Simplifying
x2 + x + 13.4 = 0

Reorder the terms:
13.4 + x + x2 = 0

Solving
13.4 + x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-13.4' to each side of the equation.
13.4 + x + -13.4 + x2 = 0 + -13.4

Reorder the terms:
13.4 + -13.4 + x + x2 = 0 + -13.4

Combine like terms: 13.4 + -13.4 = 0.0
0.0 + x + x2 = 0 + -13.4
x + x2 = 0 + -13.4

Combine like terms: 0 + -13.4 = -13.4
x + x2 = -13.4

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.
x + 0.25 + x2 = -13.4 + 0.25

Reorder the terms:
0.25 + x + x2 = -13.4 + 0.25

Combine like terms: -13.4 + 0.25 = -13.15
0.25 + x + x2 = -13.15

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -13.15

Can't calculate square root of the right side.

The solution to this equation could not be determined.