x^2+x+33=0

Solution for x^2+x+33=0 equation:

Simplifying
x2 + x + 33 = 0

Reorder the terms:
33 + x + x2 = 0

Solving
33 + x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + x + -33 + x2 = 0 + -33

Reorder the terms:
33 + -33 + x + x2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + x + x2 = 0 + -33
x + x2 = 0 + -33

Combine like terms: 0 + -33 = -33
x + x2 = -33

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 = -33 + 0.25

Reorder the terms:
0.25 + x + x2 = -33 + 0.25

Combine like terms: -33 + 0.25 = -32.75
0.25 + x + x2 = -32.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -32.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.