w^2+7w+14=0

Solution for w^2+7w+14=0 equation:

Simplifying
w2 + 7w + 14 = 0

Reorder the terms:
14 + 7w + w2 = 0

Solving
14 + 7w + 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 + 7w + -14 + w2 = 0 + -14

Reorder the terms:
14 + -14 + 7w + w2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 7w + w2 = 0 + -14
7w + w2 = 0 + -14

Combine like terms: 0 + -14 = -14
7w + w2 = -14

The w term is 7w.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7w + 12.25 + w2 = -14 + 12.25

Reorder the terms:
12.25 + 7w + w2 = -14 + 12.25

Combine like terms: -14 + 12.25 = -1.75
12.25 + 7w + w2 = -1.75

Factor a perfect square on the left side:
(w + 3.5)(w + 3.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.