w^2+9w+22=0

Solution for w^2+9w+22=0 equation:

Simplifying
w2 + 9w + 22 = 0

Reorder the terms:
22 + 9w + w2 = 0

Solving
22 + 9w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + 9w + -22 + w2 = 0 + -22

Reorder the terms:
22 + -22 + 9w + w2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 9w + w2 = 0 + -22
9w + w2 = 0 + -22

Combine like terms: 0 + -22 = -22
9w + w2 = -22

The w term is 9w.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9w + 20.25 + w2 = -22 + 20.25

Reorder the terms:
20.25 + 9w + w2 = -22 + 20.25

Combine like terms: -22 + 20.25 = -1.75
20.25 + 9w + w2 = -1.75

Factor a perfect square on the left side:
(w + 4.5)(w + 4.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.