x^2+25x+256=0

Solution for x^2+25x+256=0 equation:

Simplifying
x2 + 25x + 256 = 0

Reorder the terms:
256 + 25x + x2 = 0

Solving
256 + 25x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-256' to each side of the equation.
256 + 25x + -256 + x2 = 0 + -256

Reorder the terms:
256 + -256 + 25x + x2 = 0 + -256

Combine like terms: 256 + -256 = 0
0 + 25x + x2 = 0 + -256
25x + x2 = 0 + -256

Combine like terms: 0 + -256 = -256
25x + x2 = -256

The x term is 25x.  Take half its coefficient (12.5).
Square it (156.25) and add it to both sides.

Add '156.25' to each side of the equation.
25x + 156.25 + x2 = -256 + 156.25

Reorder the terms:
156.25 + 25x + x2 = -256 + 156.25

Combine like terms: -256 + 156.25 = -99.75
156.25 + 25x + x2 = -99.75

Factor a perfect square on the left side:
(x + 12.5)(x + 12.5) = -99.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.