x^2+16x+320=0

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Solution for x^2+16x+320=0 equation:


Simplifying
x2 + 16x + 320 = 0

Reorder the terms:
320 + 16x + x2 = 0

Solving
320 + 16x + 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 + 16x + -320 + x2 = 0 + -320

Reorder the terms:
320 + -320 + 16x + x2 = 0 + -320

Combine like terms: 320 + -320 = 0
0 + 16x + x2 = 0 + -320
16x + x2 = 0 + -320

Combine like terms: 0 + -320 = -320
16x + x2 = -320

The x term is 16x.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16x + 64 + x2 = -320 + 64

Reorder the terms:
64 + 16x + x2 = -320 + 64

Combine like terms: -320 + 64 = -256
64 + 16x + x2 = -256

Factor a perfect square on the left side:
(x + 8)(x + 8) = -256

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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