0=4x^2+x+320

Solution for 0=4x^2+x+320 equation:

Simplifying
0 = 4x2 + x + 320

Reorder the terms:
0 = 320 + x + 4x2

Solving
0 = 320 + x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -320 = -320
-320 + -1x + -4x2 = 320 + x + 4x2 + -320 + -1x + -4x2

Reorder the terms:
-320 + -1x + -4x2 = 320 + -320 + x + -1x + 4x2 + -4x2

Combine like terms: 320 + -320 = 0
-320 + -1x + -4x2 = 0 + x + -1x + 4x2 + -4x2
-320 + -1x + -4x2 = x + -1x + 4x2 + -4x2

Combine like terms: x + -1x = 0
-320 + -1x + -4x2 = 0 + 4x2 + -4x2
-320 + -1x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-320 + -1x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(320 + x + 4x2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(320 + x + 4x2)' equal to zero and attempt to solve:

Simplifying
320 + x + 4x2 = 0

Solving
320 + x + 4x2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
80 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-80' to each side of the equation.
80 + 0.25x + -80 + x2 = 0 + -80

Reorder the terms:
80 + -80 + 0.25x + x2 = 0 + -80

Combine like terms: 80 + -80 = 0
0 + 0.25x + x2 = 0 + -80
0.25x + x2 = 0 + -80

Combine like terms: 0 + -80 = -80
0.25x + x2 = -80

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.25x + 0.25 + x2 = -80 + 0.25

Reorder the terms:
0.25 + 0.25x + x2 = -80 + 0.25

Combine like terms: -80 + 0.25 = -79.75
0.25 + 0.25x + x2 = -79.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -79.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.