x^2+21x+111=0

Solution for x^2+21x+111=0 equation:

Simplifying
x2 + 21x + 111 = 0

Reorder the terms:
111 + 21x + x2 = 0

Solving
111 + 21x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-111' to each side of the equation.
111 + 21x + -111 + x2 = 0 + -111

Reorder the terms:
111 + -111 + 21x + x2 = 0 + -111

Combine like terms: 111 + -111 = 0
0 + 21x + x2 = 0 + -111
21x + x2 = 0 + -111

Combine like terms: 0 + -111 = -111
21x + x2 = -111

The x term is 21x.  Take half its coefficient (10.5).
Square it (110.25) and add it to both sides.

Add '110.25' to each side of the equation.
21x + 110.25 + x2 = -111 + 110.25

Reorder the terms:
110.25 + 21x + x2 = -111 + 110.25

Combine like terms: -111 + 110.25 = -0.75
110.25 + 21x + x2 = -0.75

Factor a perfect square on the left side:
(x + 10.5)(x + 10.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.