5w^2-16w+16=0

Solution for 5w^2-16w+16=0 equation:

Simplifying
5w2 + -16w + 16 = 0

Reorder the terms:
16 + -16w + 5w2 = 0

Solving
16 + -16w + 5w2 = 0

Solving for variable 'w'.

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

Divide each side by '5'.
3.2 + -3.2w + w2 = 0

Move the constant term to the right:

Add '-3.2' to each side of the equation.
3.2 + -3.2w + -3.2 + w2 = 0 + -3.2

Reorder the terms:
3.2 + -3.2 + -3.2w + w2 = 0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -3.2w + w2 = 0 + -3.2
-3.2w + w2 = 0 + -3.2

Combine like terms: 0 + -3.2 = -3.2
-3.2w + w2 = -3.2

The w term is -3.2w.  Take half its coefficient (-1.6).
Square it (2.56) and add it to both sides.

Add '2.56' to each side of the equation.
-3.2w + 2.56 + w2 = -3.2 + 2.56

Reorder the terms:
2.56 + -3.2w + w2 = -3.2 + 2.56

Combine like terms: -3.2 + 2.56 = -0.64
2.56 + -3.2w + w2 = -0.64

Factor a perfect square on the left side:
(w + -1.6)(w + -1.6) = -0.64

Can't calculate square root of the right side.

The solution to this equation could not be determined.