13w^2-4w+3-14w+13-8w=0

Solution for 13w^2-4w+3-14w+13-8w=0 equation:

Simplifying
13w2 + -4w + 3 + -14w + 13 + -8w = 0

Reorder the terms:
3 + 13 + -4w + -14w + -8w + 13w2 = 0

Combine like terms: 3 + 13 = 16
16 + -4w + -14w + -8w + 13w2 = 0

Combine like terms: -4w + -14w = -18w
16 + -18w + -8w + 13w2 = 0

Combine like terms: -18w + -8w = -26w
16 + -26w + 13w2 = 0

Solving
16 + -26w + 13w2 = 0

Solving for variable 'w'.

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

Divide each side by '13'.
1.230769231 + -2w + w2 = 0

Move the constant term to the right:

Add '-1.230769231' to each side of the equation.
1.230769231 + -2w + -1.230769231 + w2 = 0 + -1.230769231

Reorder the terms:
1.230769231 + -1.230769231 + -2w + w2 = 0 + -1.230769231

Combine like terms: 1.230769231 + -1.230769231 = 0.000000000
0.000000000 + -2w + w2 = 0 + -1.230769231
-2w + w2 = 0 + -1.230769231

Combine like terms: 0 + -1.230769231 = -1.230769231
-2w + w2 = -1.230769231

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 = -1.230769231 + 1

Reorder the terms:
1 + -2w + w2 = -1.230769231 + 1

Combine like terms: -1.230769231 + 1 = -0.230769231
1 + -2w + w2 = -0.230769231

Factor a perfect square on the left side:
(w + -1)(w + -1) = -0.230769231

Can't calculate square root of the right side.

The solution to this equation could not be determined.