4x^2+x+17=0

Solution for 4x^2+x+17=0 equation:

Simplifying
4x2 + x + 17 = 0

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

Solving
17 + x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
4.25 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-4.25' to each side of the equation.
4.25 + 0.25x + -4.25 + x2 = 0 + -4.25

Reorder the terms:
4.25 + -4.25 + 0.25x + x2 = 0 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + 0.25x + x2 = 0 + -4.25
0.25x + x2 = 0 + -4.25

Combine like terms: 0 + -4.25 = -4.25
0.25x + x2 = -4.25

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 = -4.25 + 0.25

Reorder the terms:
0.25 + 0.25x + x2 = -4.25 + 0.25

Combine like terms: -4.25 + 0.25 = -4
0.25 + 0.25x + x2 = -4

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.