(5w^2)-14w+11=0

Solution for (5w^2)-14w+11=0 equation:

Simplifying
(5w2) + -14w + 11 = 0

Reorder the terms:
11 + -14w + (5w2) = 0

Solving
11 + -14w + (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'.
2.2 + -2.8w + w2 = 0

Move the constant term to the right:

Add '-2.2' to each side of the equation.
2.2 + -2.8w + -2.2 + w2 = 0 + -2.2

Reorder the terms:
2.2 + -2.2 + -2.8w + w2 = 0 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + -2.8w + w2 = 0 + -2.2
-2.8w + w2 = 0 + -2.2

Combine like terms: 0 + -2.2 = -2.2
-2.8w + w2 = -2.2

The w term is -2.8w.  Take half its coefficient (-1.4).
Square it (1.96) and add it to both sides.

Add '1.96' to each side of the equation.
-2.8w + 1.96 + w2 = -2.2 + 1.96

Reorder the terms:
1.96 + -2.8w + w2 = -2.2 + 1.96

Combine like terms: -2.2 + 1.96 = -0.24
1.96 + -2.8w + w2 = -0.24

Factor a perfect square on the left side:
((w) + -1.4)((w) + -1.4) = -0.24

Can't calculate square root of the right side.

The solution to this equation could not be determined.