x^2+x+37=0

Solution for x^2+x+37=0 equation:

Simplifying
x2 + x + 37 = 0

Reorder the terms:
37 + x + x2 = 0

Solving
37 + x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + x + -37 + x2 = 0 + -37

Reorder the terms:
37 + -37 + x + x2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + x + x2 = 0 + -37
x + x2 = 0 + -37

Combine like terms: 0 + -37 = -37
x + x2 = -37

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 = -37 + 0.25

Reorder the terms:
0.25 + x + x2 = -37 + 0.25

Combine like terms: -37 + 0.25 = -36.75
0.25 + x + x2 = -36.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -36.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.