x^2+x+31.25=0

Solution for x^2+x+31.25=0 equation:

Simplifying
x2 + x + 31.25 = 0

Reorder the terms:
31.25 + x + x2 = 0

Solving
31.25 + x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-31.25' to each side of the equation.
31.25 + x + -31.25 + x2 = 0 + -31.25

Reorder the terms:
31.25 + -31.25 + x + x2 = 0 + -31.25

Combine like terms: 31.25 + -31.25 = 0.00
0.00 + x + x2 = 0 + -31.25
x + x2 = 0 + -31.25

Combine like terms: 0 + -31.25 = -31.25
x + x2 = -31.25

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 = -31.25 + 0.25

Reorder the terms:
0.25 + x + x2 = -31.25 + 0.25

Combine like terms: -31.25 + 0.25 = -31
0.25 + x + x2 = -31

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -31

Can't calculate square root of the right side.

The solution to this equation could not be determined.