2w^2-4w+9=

Solution for 2w^2-4w+9= equation:

Simplifying
2w2 + -4w + 9 = 0

Reorder the terms:
9 + -4w + 2w2 = 0

Solving
9 + -4w + 2w2 = 0

Solving for variable 'w'.

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

Divide each side by '2'.
4.5 + -2w + w2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -2w + -4.5 + w2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -2w + w2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -2w + w2 = 0 + -4.5
-2w + w2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-2w + w2 = -4.5

The w term is -2w.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2w + 1 + w2 = -4.5 + 1

Reorder the terms:
1 + -2w + w2 = -4.5 + 1

Combine like terms: -4.5 + 1 = -3.5
1 + -2w + w2 = -3.5

Factor a perfect square on the left side:
(w + -1)(w + -1) = -3.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.