x^2+32x+320=0

Solution for x^2+32x+320=0 equation:

Simplifying
x2 + 32x + 320 = 0

Reorder the terms:
320 + 32x + x2 = 0

Solving
320 + 32x + 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 + 32x + -320 + x2 = 0 + -320

Reorder the terms:
320 + -320 + 32x + x2 = 0 + -320

Combine like terms: 320 + -320 = 0
0 + 32x + x2 = 0 + -320
32x + x2 = 0 + -320

Combine like terms: 0 + -320 = -320
32x + x2 = -320

The x term is 32x.  Take half its coefficient (16).
Square it (256) and add it to both sides.

Add '256' to each side of the equation.
32x + 256 + x2 = -320 + 256

Reorder the terms:
256 + 32x + x2 = -320 + 256

Combine like terms: -320 + 256 = -64
256 + 32x + x2 = -64

Factor a perfect square on the left side:
(x + 16)(x + 16) = -64

Can't calculate square root of the right side.

The solution to this equation could not be determined.