w^2+w+14=0

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

Simplifying
w2 + w + 14 = 0

Reorder the terms:
14 + w + w2 = 0

Solving
14 + w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + w + -14 + w2 = 0 + -14

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

Combine like terms: 14 + -14 = 0
0 + w + w2 = 0 + -14
w + w2 = 0 + -14

Combine like terms: 0 + -14 = -14
w + w2 = -14

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.
w + 0.25 + w2 = -14 + 0.25

Reorder the terms:
0.25 + w + w2 = -14 + 0.25

Combine like terms: -14 + 0.25 = -13.75
0.25 + w + w2 = -13.75

Factor a perfect square on the left side:
(w + 0.5)(w + 0.5) = -13.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.