x^2+13x+52=0

Solution for x^2+13x+52=0 equation:

Simplifying
x2 + 13x + 52 = 0

Reorder the terms:
52 + 13x + x2 = 0

Solving
52 + 13x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-52' to each side of the equation.
52 + 13x + -52 + x2 = 0 + -52

Reorder the terms:
52 + -52 + 13x + x2 = 0 + -52

Combine like terms: 52 + -52 = 0
0 + 13x + x2 = 0 + -52
13x + x2 = 0 + -52

Combine like terms: 0 + -52 = -52
13x + x2 = -52

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 = -52 + 42.25

Reorder the terms:
42.25 + 13x + x2 = -52 + 42.25

Combine like terms: -52 + 42.25 = -9.75
42.25 + 13x + x2 = -9.75

Factor a perfect square on the left side:
(x + 6.5)(x + 6.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.