x^2+2*x+13.69=0

Solution for x^2+2*x+13.69=0 equation:

Simplifying
x2 + 2x + 13.69 = 0

Reorder the terms:
13.69 + 2x + x2 = 0

Solving
13.69 + 2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-13.69' to each side of the equation.
13.69 + 2x + -13.69 + x2 = 0 + -13.69

Reorder the terms:
13.69 + -13.69 + 2x + x2 = 0 + -13.69

Combine like terms: 13.69 + -13.69 = 0.00
0.00 + 2x + x2 = 0 + -13.69
2x + x2 = 0 + -13.69

Combine like terms: 0 + -13.69 = -13.69
2x + x2 = -13.69

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -13.69 + 1

Reorder the terms:
1 + 2x + x2 = -13.69 + 1

Combine like terms: -13.69 + 1 = -12.69
1 + 2x + x2 = -12.69

Factor a perfect square on the left side:
(x + 1)(x + 1) = -12.69

Can't calculate square root of the right side.

The solution to this equation could not be determined.