w^2-4w+22=0

Solution for w^2-4w+22=0 equation:

Simplifying
w2 + -4w + 22 = 0

Reorder the terms:
22 + -4w + w2 = 0

Solving
22 + -4w + 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 + -4w + -22 + w2 = 0 + -22

Reorder the terms:
22 + -22 + -4w + w2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -4w + w2 = 0 + -22
-4w + w2 = 0 + -22

Combine like terms: 0 + -22 = -22
-4w + w2 = -22

The w term is -4w.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4w + 4 + w2 = -22 + 4

Reorder the terms:
4 + -4w + w2 = -22 + 4

Combine like terms: -22 + 4 = -18
4 + -4w + w2 = -18

Factor a perfect square on the left side:
(w + -2)(w + -2) = -18

Can't calculate square root of the right side.

The solution to this equation could not be determined.