x^2+13x+64=0

Solution for x^2+13x+64=0 equation:

Simplifying
x2 + 13x + 64 = 0

Reorder the terms:
64 + 13x + x2 = 0

Solving
64 + 13x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + 13x + -64 + x2 = 0 + -64

Reorder the terms:
64 + -64 + 13x + x2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 13x + x2 = 0 + -64
13x + x2 = 0 + -64

Combine like terms: 0 + -64 = -64
13x + x2 = -64

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 = -64 + 42.25

Reorder the terms:
42.25 + 13x + x2 = -64 + 42.25

Combine like terms: -64 + 42.25 = -21.75
42.25 + 13x + x2 = -21.75

Factor a perfect square on the left side:
(x + 6.5)(x + 6.5) = -21.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.