-4w^2+w-14=0

Solution for -4w^2+w-14=0 equation:

Simplifying
-4w2 + w + -14 = 0

Reorder the terms:
-14 + w + -4w2 = 0

Solving
-14 + w + -4w2 = 0

Solving for variable 'w'.

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

Divide each side by '-4'.
3.5 + -0.25w + w2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -0.25w + -3.5 + w2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -0.25w + w2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -0.25w + w2 = 0 + -3.5
-0.25w + w2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-0.25w + w2 = -3.5

The w term is w.  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.
-0.25w + 0.25 + w2 = -3.5 + 0.25

Reorder the terms:
0.25 + -0.25w + w2 = -3.5 + 0.25

Combine like terms: -3.5 + 0.25 = -3.25
0.25 + -0.25w + w2 = -3.25

Factor a perfect square on the left side:
(w + 0.5)(w + 0.5) = -3.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.