x^2+13x+85=0

Solution for x^2+13x+85=0 equation:

Simplifying
x2 + 13x + 85 = 0

Reorder the terms:
85 + 13x + x2 = 0

Solving
85 + 13x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-85' to each side of the equation.
85 + 13x + -85 + x2 = 0 + -85

Reorder the terms:
85 + -85 + 13x + x2 = 0 + -85

Combine like terms: 85 + -85 = 0
0 + 13x + x2 = 0 + -85
13x + x2 = 0 + -85

Combine like terms: 0 + -85 = -85
13x + x2 = -85

The x term is 13x.  Take half its coefficient (6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
13x + 42.25 + x2 = -85 + 42.25

Reorder the terms:
42.25 + 13x + x2 = -85 + 42.25

Combine like terms: -85 + 42.25 = -42.75
42.25 + 13x + x2 = -42.75

Factor a perfect square on the left side:
(x + 6.5)(x + 6.5) = -42.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.