x^2+24x+320=0

Solution for x^2+24x+320=0 equation:

Simplifying
x2 + 24x + 320 = 0

Reorder the terms:
320 + 24x + x2 = 0

Solving
320 + 24x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-320' to each side of the equation.
320 + 24x + -320 + x2 = 0 + -320

Reorder the terms:
320 + -320 + 24x + x2 = 0 + -320

Combine like terms: 320 + -320 = 0
0 + 24x + x2 = 0 + -320
24x + x2 = 0 + -320

Combine like terms: 0 + -320 = -320
24x + x2 = -320

The x term is 24x.  Take half its coefficient (12).
Square it (144) and add it to both sides.

Add '144' to each side of the equation.
24x + 144 + x2 = -320 + 144

Reorder the terms:
144 + 24x + x2 = -320 + 144

Combine like terms: -320 + 144 = -176
144 + 24x + x2 = -176

Factor a perfect square on the left side:
(x + 12)(x + 12) = -176

Can't calculate square root of the right side.

The solution to this equation could not be determined.